83905232896 has 135 divisors (see below), whose sum is σ = 175800820293. Its totient is φ = 40043151360.

The previous prime is 83905232867. The next prime is 83905232909. The reversal of 83905232896 is 69823250938.

The square root of 83905232896 is 289664.

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

It can be written as a sum of positive squares in only one way, i.e., 47628697600 + 36276535296 = 218240^2 + 190464^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1149386716 + ... + 1149386788.

Almost surely, 2^83905232896 is an apocalyptic number.

83905232896 is the 289664-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83905232896

83905232896 is an abundant number, since it is smaller than the sum of its proper divisors (91895587397).

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

83905232896 is an frugal number, since it uses more digits than its factorization.

83905232896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 236 (or 106 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 55.

The spelling of 83905232896 in words is "eighty-three billion, nine hundred five million, two hundred thirty-two thousand, eight hundred ninety-six".