38462553216 has 112 divisors (see below), whose sum is σ = 114884650710. Its totient is φ = 12820819968.

The previous prime is 38462553211. The next prime is 38462553223. The reversal of 38462553216 is 61235526483.

38462553216 is a `hidden beast` number, since 3 + 8 + 4 + 625 + 5 + 3 + 2 + 16 = 666.

It can be written as a sum of positive squares in only one way, i.e., 25895246400 + 12567306816 = 160920^2 + 112104^2 .

It is not an unprimeable number, because it can be changed into a prime (38462553211) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 13 ways as a sum of consecutive naturals, for example, 112785 + ... + 299408.

Almost surely, 2^38462553216 is an apocalyptic number.

38462553216 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

38462553216 is an abundant number, since it is smaller than the sum of its proper divisors (76422097494).

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

38462553216 is an frugal number, since it uses more digits than its factorization.

38462553216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 412225 (or 412198 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 38462553216 in words is "thirty-eight billion, four hundred sixty-two million, five hundred fifty-three thousand, two hundred sixteen".