84988574784 has 105 divisors (see below), whose sum is σ = 251994996517. Its totient is φ = 28322528256.

The previous prime is 84988574779. The next prime is 84988574791. The reversal of 84988574784 is 48747588948.

The square root of 84988574784 is 291528.

It is a perfect power (a square), and thus also a powerful number.

84988574784 is a `hidden beast` number, since 8 + 49 + 8 + 8 + 574 + 7 + 8 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 20756741184 + 64231833600 = 144072^2 + 253440^2 .

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

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 20987992 + ... + 20992040.

Almost surely, 2^84988574784 is an apocalyptic number.

84988574784 is the 291528-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84988574784

84988574784 is an abundant number, since it is smaller than the sum of its proper divisors (167006421733).

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

84988574784 is an frugal number, since it uses more digits than its factorization.

84988574784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8122 (or 4054 counting only the distinct ones).

The product of its digits is 578027520, while the sum is 72.

The spelling of 84988574784 in words is "eighty-four billion, nine hundred eighty-eight million, five hundred seventy-four thousand, seven hundred eighty-four".