381638109328512 has 128 divisors (see below), whose sum is σ = 1129849666142400. Its totient is φ = 113428044840960.

The previous prime is 381638109328501. The next prime is 381638109328513. The reversal of 381638109328512 is 215823901836183.

It is a tau number, because it is divible by the number of its divisors (128).

It is a super-2 number, since 2×381638109328512² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (381638109328513) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1538342289 + ... + 1538590352.

Almost surely, 2^{381638109328512} is an apocalyptic number.

381638109328512 is a gapful number since it is divisible by the number (32) formed by its first and last digit.

It is an amenable number.

381638109328512 is an abundant number, since it is smaller than the sum of its proper divisors (748211556813888).

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

381638109328512 is a wasteful number, since it uses less digits than its factorization.

381638109328512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3076932694 (or 3076932682 counting only the distinct ones).

The product of its (nonzero) digits is 14929920, while the sum is 60.

The spelling of 381638109328512 in words is "three hundred eighty-one trillion, six hundred thirty-eight billion, one hundred nine million, three hundred twenty-eight thousand, five hundred twelve".