815193818064 has 80 divisors (see below), whose sum is σ = 2362625865600. Its totient is φ = 269093090304.

The previous prime is 815193818057. The next prime is 815193818071. The reversal of 815193818064 is 460818391518.

It is a happy number.

815193818064 is a `hidden beast` number, since 81 + 51 + 9 + 381 + 80 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (815193818057) and next prime (815193818071).

It is a super-2 number, since 2×815193818064² (a number of 25 digits) contains 22 as substring.

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

It is a self number, because there is not a number n which added to its sum of digits gives 815193818064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 9115809 + ... + 9204800.

It is an arithmetic number, because the mean of its divisors is an integer number (29532823320).

Almost surely, 2^815193818064 is an apocalyptic number.

It is an amenable number.

815193818064 is an abundant number, since it is smaller than the sum of its proper divisors (1547432047536).

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

815193818064 is a wasteful number, since it uses less digits than its factorization.

815193818064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18320729 (or 18320717 counting only the distinct ones).

The product of its (nonzero) digits is 1658880, while the sum is 54.

The spelling of 815193818064 in words is "eight hundred fifteen billion, one hundred ninety-three million, eight hundred eighteen thousand, sixty-four".