814992506496 has 256 divisors, whose sum is σ = 2749943500800. Its totient is φ = 232773626880.

The previous prime is 814992506483. The next prime is 814992506507. The reversal of 814992506496 is 694605299418.

814992506496 is a `hidden beast` number, since 8 + 1 + 4 + 9 + 92 + 50 + 6 + 496 = 666.

814992506496 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 118609941 + ... + 118616811.

It is an arithmetic number, because the mean of its divisors is an integer number (10741966800).

Almost surely, 2^814992506496 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 814992506496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1374971750400).

814992506496 is an abundant number, since it is smaller than the sum of its proper divisors (1934950994304).

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

814992506496 is a wasteful number, since it uses less digits than its factorization.

814992506496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11804 (or 11786 counting only the distinct ones).

The product of its (nonzero) digits is 33592320, while the sum is 63.

The spelling of 814992506496 in words is "eight hundred fourteen billion, nine hundred ninety-two million, five hundred six thousand, four hundred ninety-six".