83623889552256 has 160 divisors (see below), whose sum is σ = 248959395392400. Its totient is φ = 27863870939136.

The previous prime is 83623889552243. The next prime is 83623889552323. The reversal of 83623889552256 is 65225598832638.

83623889552256 is a `hidden beast` number, since 8 + 3 + 6 + 2 + 3 + 8 + 8 + 95 + 522 + 5 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 25328965 + ... + 28439483.

Almost surely, 2^{83623889552256} 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 83623889552256, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (124479697696200).

83623889552256 is an abundant number, since it is smaller than the sum of its proper divisors (165335505840144).

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

83623889552256 is a wasteful number, since it uses less digits than its factorization.

83623889552256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3113138 (or 3113117 counting only the distinct ones).

The product of its digits is 1492992000, while the sum is 72.

The spelling of 83623889552256 in words is "eighty-three trillion, six hundred twenty-three billion, eight hundred eighty-nine million, five hundred fifty-two thousand, two hundred fifty-six".