83895963904 has 81 divisors (see below), whose sum is σ = 171857506149. Its totient is φ = 40875125760.

The previous prime is 83895963901. The next prime is 83895963913. The reversal of 83895963904 is 40936959838.

The square root of 83895963904 is 289648.

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., 398082304 + 83497881600 = 19952^2 + 288960^2 .

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

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (83895963901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 199277614 + ... + 199278034.

Almost surely, 2^83895963904 is an apocalyptic number.

83895963904 is the 289648-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83895963904

83895963904 is an abundant number, since it is smaller than the sum of its proper divisors (87961542245).

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

83895963904 is an frugal number, since it uses more digits than its factorization.

83895963904 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 944 (or 466 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 64.

Multiplying 83895963904 by its sum of digits (64), we get a square (5369341689856 = 2317184²).

83895963904 divided by its sum of digits (64) gives a square (1310874436 = 36206²).

The spelling of 83895963904 in words is "eighty-three billion, eight hundred ninety-five million, nine hundred sixty-three thousand, nine hundred four".