815345344386 has 80 divisors (see below), whose sum is σ = 1914595398144. Its totient is φ = 258849176256.

The previous prime is 815345344361. The next prime is 815345344417. The reversal of 815345344386 is 683443543518.

815345344386 is a `hidden beast` number, since 8 + 153 + 4 + 53 + 4 + 438 + 6 = 666.

It is a super-2 number, since 2×815345344386² (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 an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 398575 + ... + 1337741.

Almost surely, 2^815345344386 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 815345344386, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (957297699072).

815345344386 is an abundant number, since it is smaller than the sum of its proper divisors (1099250053758).

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

815345344386 is a wasteful number, since it uses less digits than its factorization.

815345344386 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 939437 (or 939428 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 815345344386 in words is "eight hundred fifteen billion, three hundred forty-five million, three hundred forty-four thousand, three hundred eighty-six".