6038264314944 has 105 divisors (see below), whose sum is σ = 17899831521957. Its totient is φ = 2012695796736.

The previous prime is 6038264314933. The next prime is 6038264314987. The reversal of 6038264314944 is 4494134628306.

The square root of 6038264314944 is 2457288.

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

6038264314944 is a `hidden beast` number, since 60 + 3 + 8 + 2 + 64 + 31 + 494 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 756357217344 + 5281907097600 = 869688^2 + 2298240^2 .

It is a super-2 number, since 2×6038264314944² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 176907672 + ... + 176941800.

Almost surely, 2^{6038264314944} is an apocalyptic number.

6038264314944 is a gapful number since it is divisible by the number (64) formed by its first and last digit.

6038264314944 is the 2457288-th square number.

It is an amenable number.

6038264314944 is an abundant number, since it is smaller than the sum of its proper divisors (11861567207013).

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

6038264314944 is an frugal number, since it uses more digits than its factorization.

6038264314944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 68282 (or 34134 counting only the distinct ones).

The product of its (nonzero) digits is 11943936, while the sum is 54.

The spelling of 6038264314944 in words is "six trillion, thirty-eight billion, two hundred sixty-four million, three hundred fourteen thousand, nine hundred forty-four".