816731889045156 has 432 divisors, whose sum is σ = 2485579752714240. Its totient is φ = 221187541155840.

The previous prime is 816731889045139. The next prime is 816731889045157. The reversal of 816731889045156 is 651540988137618.

816731889045156 is a `hidden beast` number, since 8 + 1 + 6 + 7 + 3 + 1 + 88 + 90 + 451 + 5 + 6 = 666.

816731889045156 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×816731889045156² (a number of 31 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (816731889045157) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 148415750301 + ... + 148415755803.

Almost surely, 2^{816731889045156} 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 816731889045156, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1242789876357120).

816731889045156 is an abundant number, since it is smaller than the sum of its proper divisors (1668847863669084).

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

816731889045156 is a wasteful number, since it uses less digits than its factorization.

816731889045156 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6764 (or 6182 counting only the distinct ones).

The product of its (nonzero) digits is 348364800, while the sum is 72.

The spelling of 816731889045156 in words is "eight hundred sixteen trillion, seven hundred thirty-one billion, eight hundred eighty-nine million, forty-five thousand, one hundred fifty-six".