84975457222656 has 2880 divisors, whose sum is σ = 348083054592000. Its totient is φ = 19664496230400.

The previous prime is 84975457222627. The next prime is 84975457222699. The reversal of 84975457222656 is 65622275457948.

84975457222656 is a `hidden beast` number, since 8 + 4 + 9 + 7 + 545 + 7 + 2 + 2 + 26 + 56 = 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 pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 224209649475 + ... + 224209649853.

Almost surely, 2^{84975457222656} 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 84975457222656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174041527296000).

84975457222656 is an abundant number, since it is smaller than the sum of its proper divisors (263107597369344).

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

84975457222656 is a wasteful number, since it uses less digits than its factorization.

84975457222656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 489 (or 446 counting only the distinct ones).

The product of its digits is 2032128000, while the sum is 72.

The spelling of 84975457222656 in words is "eighty-four trillion, nine hundred seventy-five billion, four hundred fifty-seven million, two hundred twenty-two thousand, six hundred fifty-six".