84350084256 has 72 divisors (see below), whose sum is σ = 242071289460. Its totient is φ = 27858733056.

The previous prime is 84350084251. The next prime is 84350084293. The reversal of 84350084256 is 65248005348.

84350084256 is a `hidden beast` number, since 8 + 43 + 500 + 84 + 25 + 6 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 83740784400 + 609299856 = 289380^2 + 24684^2 .

It is a tau number, because it is divible by the number of its divisors (72).

It is a super-2 number, since 2×84350084256² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (84350084251) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1312105 + ... + 1374888.

Almost surely, 2^84350084256 is an apocalyptic number.

It is an amenable number.

84350084256 is an abundant number, since it is smaller than the sum of its proper divisors (157721205204).

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

84350084256 is a wasteful number, since it uses less digits than its factorization.

84350084256 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2687118 (or 2687107 counting only the distinct ones).

The product of its (nonzero) digits is 921600, while the sum is 45.

The spelling of 84350084256 in words is "eighty-four billion, three hundred fifty million, eighty-four thousand, two hundred fifty-six".