1364381568 has 192 divisors, whose sum is σ = 4349704320. Its totient is φ = 407024640.

The previous prime is 1364381567. The next prime is 1364381581. The reversal of 1364381568 is 8651834631.

1364381568 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 3 + 81 + 568 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1364381561) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 848221 + ... + 849827.

It is an arithmetic number, because the mean of its divisors is an integer number (22654710).

Almost surely, 2^1364381568 is an apocalyptic number.

1364381568 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1364381568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2174852160).

1364381568 is an abundant number, since it is smaller than the sum of its proper divisors (2985322752).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1364381568 is a wasteful number, since it uses less digits than its factorization.

1364381568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1705 (or 1690 counting only the distinct ones).

The product of its digits is 414720, while the sum is 45.

The square root of 1364381568 is about 36937.5360304393. The cubic root of 1364381568 is about 1109.1201988730.

The spelling of 1364381568 in words is "one billion, three hundred sixty-four million, three hundred eighty-one thousand, five hundred sixty-eight".