813940945272 has 256 divisors, whose sum is σ = 2784071808000. Its totient is φ = 214560244224.

The previous prime is 813940945249. The next prime is 813940945283. The reversal of 813940945272 is 272549049318.

813940945272 is a `hidden beast` number, since 81 + 3 + 9 + 40 + 9 + 452 + 72 = 666.

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

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 45062179 + ... + 45080237.

It is an arithmetic number, because the mean of its divisors is an integer number (10875280500).

Almost surely, 2^813940945272 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 813940945272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1392035904000).

813940945272 is an abundant number, since it is smaller than the sum of its proper divisors (1970130862728).

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

813940945272 is a wasteful number, since it uses less digits than its factorization.

813940945272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20387 (or 20377 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

The spelling of 813940945272 in words is "eight hundred thirteen billion, nine hundred forty million, nine hundred forty-five thousand, two hundred seventy-two".