363125568 has 252 divisors, whose sum is σ = 1133417088. Its totient is φ = 102435840.

The previous prime is 363125563. The next prime is 363125621. The reversal of 363125568 is 865521363.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (363125563) 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 35 ways as a sum of consecutive naturals, for example, 11713713 + ... + 11713743.

Almost surely, 2^363125568 is an apocalyptic number.

363125568 is a gapful number since it is divisible by the number (38) 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 363125568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (566708544).

363125568 is an abundant number, since it is smaller than the sum of its proper divisors (770291520).

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

363125568 is a wasteful number, since it uses less digits than its factorization.

363125568 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 110 (or 68 counting only the distinct ones).

The product of its digits is 129600, while the sum is 39.

The square root of 363125568 is about 19055.8539037221. The cubic root of 363125568 is about 713.4314927856.

The spelling of 363125568 in words is "three hundred sixty-three million, one hundred twenty-five thousand, five hundred sixty-eight".