10931040010944 has 84 divisors (see below), whose sum is σ = 31636045446096. Its totient is φ = 3608304450048.

The previous prime is 10931040010939. The next prime is 10931040010951. The reversal of 10931040010944 is 44901004013901.

10931040010944 is a `hidden beast` number, since 10 + 93 + 10 + 400 + 109 + 44 = 666.

It is a super-2 number, since 2×10931040010944² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 10931040010899 and 10931040010908.

It is an unprimeable number.

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 11 ways as a sum of consecutive naturals, for example, 92064459 + ... + 92183114.

It is an arithmetic number, because the mean of its divisors is an integer number (376619588644).

Almost surely, 2^{10931040010944} is an apocalyptic number.

It is an amenable number.

10931040010944 is an abundant number, since it is smaller than the sum of its proper divisors (20705005435152).

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

10931040010944 is a wasteful number, since it uses less digits than its factorization.

10931040010944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 184247694 (or 184247681 counting only the distinct ones).

The product of its (nonzero) digits is 15552, while the sum is 36.

The spelling of 10931040010944 in words is "ten trillion, nine hundred thirty-one billion, forty million, ten thousand, nine hundred forty-four".