813191768000 has 56 divisors (see below), whose sum is σ = 2013869433264. Its totient is φ = 325276704000.

The previous prime is 813191767987. The next prime is 813191768087. The reversal of 813191768000 is 867191318.

It is a super-2 number, since 2×813191768000² (a number of 25 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (44) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 50816486 + ... + 50832485.

Almost surely, 2^813191768000 is an apocalyptic number.

813191768000 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

It is an amenable number.

813191768000 is an abundant number, since it is smaller than the sum of its proper divisors (1200677665264).

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

813191768000 is a wasteful number, since it uses less digits than its factorization.

813191768000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 101648998 (or 101648978 counting only the distinct ones).

The product of its (nonzero) digits is 72576, while the sum is 44.

The spelling of 813191768000 in words is "eight hundred thirteen billion, one hundred ninety-one million, seven hundred sixty-eight thousand".