84325190544 has 135 divisors (see below), whose sum is σ = 274602386097. Its totient is φ = 24085942272.

The previous prime is 84325190527. The next prime is 84325190569. The reversal of 84325190544 is 44509152348.

The square root of 84325190544 is 290388.

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

84325190544 is a `hidden beast` number, since 84 + 3 + 2 + 519 + 0 + 54 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1215219600 + 83109970944 = 34860^2 + 288288^2 .

It is a super-2 number, since 2×84325190544² (a number of 23 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 84325190544.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 24390864 + ... + 24394320.

Almost surely, 2^84325190544 is an apocalyptic number.

84325190544 is a gapful number since it is divisible by the number (84) formed by its first and last digit.

84325190544 is the 290388-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 84325190544

84325190544 is an abundant number, since it is smaller than the sum of its proper divisors (190277195553).

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

84325190544 is an equidigital number, since it uses as much as digits as its factorization.

84325190544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6942 (or 3469 counting only the distinct ones).

The product of its (nonzero) digits is 691200, while the sum is 45.

The spelling of 84325190544 in words is "eighty-four billion, three hundred twenty-five million, one hundred ninety thousand, five hundred forty-four".