813118445568 has 960 divisors, whose sum is σ = 2884874952960. Its totient is φ = 224944128000.

The previous prime is 813118445543. The next prime is 813118445591. The reversal of 813118445568 is 865544811318.

813118445568 is a `hidden beast` number, since 8 + 1 + 3 + 1 + 1 + 84 + 4 + 556 + 8 = 666.

It is a super-2 number, since 2×813118445568² (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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 3582019471 + ... + 3582019697.

It is an arithmetic number, because the mean of its divisors is an integer number (3005078076).

Almost surely, 2^813118445568 is an apocalyptic number.

813118445568 is a gapful number since it is divisible by the number (88) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813118445568, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1442437476480).

813118445568 is an abundant number, since it is smaller than the sum of its proper divisors (2071756507392).

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

813118445568 is a wasteful number, since it uses less digits than its factorization.

813118445568 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 436 (or 407 counting only the distinct ones).

The product of its digits is 3686400, while the sum is 54.

The spelling of 813118445568 in words is "eight hundred thirteen billion, one hundred eighteen million, four hundred forty-five thousand, five hundred sixty-eight".