1138404432816 has 120 divisors (see below), whose sum is σ = 3729894333984. Its totient is φ = 317325265920.

The previous prime is 1138404432673. The next prime is 1138404432899. The reversal of 1138404432816 is 6182344048311.

1138404432816 is a `hidden beast` number, since 1 + 138 + 4 + 0 + 4 + 432 + 81 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 13731471 + ... + 13814126.

Almost surely, 2^{1138404432816} is an apocalyptic number.

1138404432816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

1138404432816 is an abundant number, since it is smaller than the sum of its proper divisors (2591489901168).

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

1138404432816 is a wasteful number, since it uses less digits than its factorization.

1138404432816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27545659 (or 27545650 counting only the distinct ones).

The product of its (nonzero) digits is 442368, while the sum is 45.

The spelling of 1138404432816 in words is "one trillion, one hundred thirty-eight billion, four hundred four million, four hundred thirty-two thousand, eight hundred sixteen".