813048090624 has 1872 divisors, whose sum is σ = 3303767113920. Its totient is φ = 189593026560.

The previous prime is 813048090619. The next prime is 813048090683. The reversal of 813048090624 is 426090840318.

It is a happy number.

813048090624 is a `hidden beast` number, since 8 + 13 + 0 + 4 + 8 + 0 + 9 + 0 + 624 = 666.

It is a super-2 number, since 2×813048090624² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 813048090624.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9795760087 + ... + 9795760169.

It is an arithmetic number, because the mean of its divisors is an integer number (1764832860).

Almost surely, 2^813048090624 is an apocalyptic number.

813048090624 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 813048090624, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1651883556960).

813048090624 is an abundant number, since it is smaller than the sum of its proper divisors (2490719023296).

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

813048090624 is a wasteful number, since it uses less digits than its factorization.

813048090624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 184 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 813048090624 in words is "eight hundred thirteen billion, forty-eight million, ninety thousand, six hundred twenty-four".