1361314816 has 33 divisors (see below), whose sum is σ = 2723662461. Its totient is φ = 680067072.

The previous prime is 1361314813. The next prime is 1361314837. The reversal of 1361314816 is 6184131631.

The square root of 1361314816 is 36896.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 1075840000 + 285474816 = 32800^2 + 16896^2 .

It is a super-2 number, since 2×1361314816² = 3706356056522227712, which contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1361314813) by changing a digit.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 1180096 + ... + 1181248.

Almost surely, 2^1361314816 is an apocalyptic number.

1361314816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1361314816 is the 36896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1361314816

1361314816 is an abundant number, since it is smaller than the sum of its proper divisors (1362347645).

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

1361314816 is an frugal number, since it uses more digits than its factorization.

1361314816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2326 (or 1155 counting only the distinct ones).

The product of its digits is 10368, while the sum is 34.

The cubic root of 1361314816 is about 1108.2885771036.

The spelling of 1361314816 in words is "one billion, three hundred sixty-one million, three hundred fourteen thousand, eight hundred sixteen".