83363857984 has 189 divisors, whose sum is σ = 194162061891. Its totient is φ = 35478896640.

The previous prime is 83363857963. The next prime is 83363858009. The reversal of 83363857984 is 48975836338.

The square root of 83363857984 is 288728.

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 50808384 + 83313049600 = 7128^2 + 288640^2 .

It is a Harshad number since it is a multiple of its sum of digits (64).

It is a Duffinian 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 26 ways as a sum of consecutive naturals, for example, 431936992 + ... + 431937184.

Almost surely, 2^83363857984 is an apocalyptic number.

83363857984 is the 288728-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83363857984

83363857984 is an abundant number, since it is smaller than the sum of its proper divisors (110798203907).

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

83363857984 is a wasteful number, since it uses less digits than its factorization.

83363857984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454 (or 223 counting only the distinct ones).

The product of its digits is 104509440, while the sum is 64.

Multiplying 83363857984 by its sum of digits (64), we get a square (5335286910976 = 2309824²).

83363857984 divided by its sum of digits (64) gives a square (1302560281 = 36091²).

The spelling of 83363857984 in words is "eighty-three billion, three hundred sixty-three million, eight hundred fifty-seven thousand, nine hundred eighty-four".