10831606493904 has 120 divisors (see below), whose sum is σ = 34644791787840. Its totient is φ = 3094669315584.

The previous prime is 10831606493879. The next prime is 10831606493921. The reversal of 10831606493904 is 40939460613801.

10831606493904 is a `hidden beast` number, since 1 + 0 + 8 + 3 + 1 + 60 + 6 + 493 + 90 + 4 = 666.

It is a super-2 number, since 2×10831606493904² (a number of 27 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 51271339 + ... + 51482165.

It is an arithmetic number, because the mean of its divisors is an integer number (288706598232).

Almost surely, 2^{10831606493904} is an apocalyptic number.

10831606493904 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10831606493904 is an abundant number, since it is smaller than the sum of its proper divisors (23813185293936).

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

10831606493904 is a wasteful number, since it uses less digits than its factorization.

10831606493904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 261817 (or 261808 counting only the distinct ones).

The product of its (nonzero) digits is 3359232, while the sum is 54.

The spelling of 10831606493904 in words is "ten trillion, eight hundred thirty-one billion, six hundred six million, four hundred ninety-three thousand, nine hundred four".