816881672992 has 192 divisors, whose sum is σ = 2062906804224. Its totient is φ = 309216061440.

The previous prime is 816881672951. The next prime is 816881673007. The reversal of 816881672992 is 299276188618.

It is a Harshad number since it is a multiple of its sum of digits (67).

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, 12017533 + ... + 12085315.

It is an arithmetic number, because the mean of its divisors is an integer number (10744306272).

Almost surely, 2^816881672992 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 816881672992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1031453402112).

816881672992 is an abundant number, since it is smaller than the sum of its proper divisors (1246025131232).

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

816881672992 is a wasteful number, since it uses less digits than its factorization.

816881672992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 67951 (or 67943 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 67.

The spelling of 816881672992 in words is "eight hundred sixteen billion, eight hundred eighty-one million, six hundred seventy-two thousand, nine hundred ninety-two".