84547192900 has 27 divisors (see below), whose sum is σ = 183473718519. Its totient is φ = 33817714080.

The previous prime is 84547192853. The next prime is 84547192909. The reversal of 84547192900 is 929174548.

The square root of 84547192900 is 290770.

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

It can be written as a sum of positive squares in 4 ways, for example, as 2769495876 + 81777697024 = 52626^2 + 285968^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84547192909) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 2893162 + ... + 2922238.

Almost surely, 2^84547192900 is an apocalyptic number.

84547192900 is the 290770-th square number.

It is an amenable number.

84547192900 is an abundant number, since it is smaller than the sum of its proper divisors (98926525619).

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

84547192900 is an frugal number, since it uses more digits than its factorization.

84547192900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58168 (or 29084 counting only the distinct ones).

The product of its (nonzero) digits is 725760, while the sum is 49.

Multiplying 84547192900 by its sum of digits (49), we get a square (4142812452100 = 2035390²).

The spelling of 84547192900 in words is "eighty-four billion, five hundred forty-seven million, one hundred ninety-two thousand, nine hundred".