813356717801472 has 1280 divisors, whose sum is σ = 2650408236241920. Its totient is φ = 247082388553728.

The previous prime is 813356717801413. The next prime is 813356717801489. The reversal of 813356717801472 is 274108717653318.

813356717801472 is a `hidden beast` number, since 8 + 1 + 3 + 35 + 67 + 1 + 78 + 0 + 1 + 472 = 666.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1371596488408 + ... + 1371596489000.

It is an arithmetic number, because the mean of its divisors is an integer number (2070631434564).

Almost surely, 2^{813356717801472} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 813356717801472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1325204118120960).

813356717801472 is an abundant number, since it is smaller than the sum of its proper divisors (1837051518440448).

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

813356717801472 is a wasteful number, since it uses less digits than its factorization.

813356717801472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1088 (or 1051 counting only the distinct ones).

The product of its (nonzero) digits is 47416320, while the sum is 63.

The spelling of 813356717801472 in words is "eight hundred thirteen trillion, three hundred fifty-six billion, seven hundred seventeen million, eight hundred one thousand, four hundred seventy-two".