811113961381920 has 384 divisors, whose sum is σ = 3262381037959680. Its totient is φ = 184373180190720.

The previous prime is 811113961381873. The next prime is 811113961381957. The reversal of 811113961381920 is 29183169311118.

811113961381920 is a `hidden beast` number, since 8 + 1 + 1 + 1 + 1 + 3 + 9 + 613 + 8 + 19 + 2 + 0 = 666.

It is a super-2 number, since 2×811113961381920² (a number of 31 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 68622007 + ... + 79568886.

It is an arithmetic number, because the mean of its divisors is an integer number (8495783953020).

Almost surely, 2^{811113961381920} is an apocalyptic number.

811113961381920 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

811113961381920 is an abundant number, since it is smaller than the sum of its proper divisors (2451267076577760).

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

811113961381920 is a wasteful number, since it uses less digits than its factorization.

811113961381920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 148191105 (or 148191091 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 54.

The spelling of 811113961381920 in words is "eight hundred eleven trillion, one hundred thirteen billion, nine hundred sixty-one million, three hundred eighty-one thousand, nine hundred twenty".