813181778304 has 384 divisors, whose sum is σ = 2604913862400. Its totient is φ = 223842963456.

The previous prime is 813181778273. The next prime is 813181778323. The reversal of 813181778304 is 403877181318.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×813181778304² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 307207509 + ... + 307210155.

It is an arithmetic number, because the mean of its divisors is an integer number (6783629850).

Almost surely, 2^813181778304 is an apocalyptic number.

813181778304 is a gapful number since it is divisible by the number (84) 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 813181778304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1302456931200).

813181778304 is an abundant number, since it is smaller than the sum of its proper divisors (1791732084096).

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

813181778304 is a wasteful number, since it uses less digits than its factorization.

813181778304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3270 (or 3251 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 51.

The spelling of 813181778304 in words is "eight hundred thirteen billion, one hundred eighty-one million, seven hundred seventy-eight thousand, three hundred four".