813086295456 has 96 divisors (see below), whose sum is σ = 2279174284800. Its totient is φ = 253241533440.

The previous prime is 813086295389. The next prime is 813086295457. The reversal of 813086295456 is 654592680318.

813086295456 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×813086295456² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 813086295396 and 813086295405.

It is not an unprimeable number, because it can be changed into a prime (813086295457) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 4624291 + ... + 4796898.

It is an arithmetic number, because the mean of its divisors is an integer number (23741398800).

Almost surely, 2^813086295456 is an apocalyptic number.

It is an amenable number.

813086295456 is an abundant number, since it is smaller than the sum of its proper divisors (1466087989344).

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

813086295456 is a wasteful number, since it uses less digits than its factorization.

813086295456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9421262 (or 9421254 counting only the distinct ones).

The product of its (nonzero) digits is 12441600, while the sum is 57.

The spelling of 813086295456 in words is "eight hundred thirteen billion, eighty-six million, two hundred ninety-five thousand, four hundred fifty-six".