83876268996 has 243 divisors, whose sum is σ = 237579974541. Its totient is φ = 24939240768.

The previous prime is 83876268991. The next prime is 83876268997. The reversal of 83876268996 is 69986267838.

The square root of 83876268996 is 289614.

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., 12407732100 + 71468536896 = 111390^2 + 267336^2 .

It is a Smith number, since the sum of its digits (72) coincides with the sum of the digits of its prime factors.

Its product of digits (376233984) is a multiple of the sum of its prime divisors (144).

It is not an unprimeable number, because it can be changed into a prime (83876268991) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1061724885 + ... + 1061724963.

Almost surely, 2^83876268996 is an apocalyptic number.

83876268996 is the 289614-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83876268996

83876268996 is an abundant number, since it is smaller than the sum of its proper divisors (153703705545).

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

83876268996 is a wasteful number, since it uses less digits than its factorization.

83876268996 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 288 (or 144 counting only the distinct ones).

The product of its digits is 376233984, while the sum is 72.

The spelling of 83876268996 in words is "eighty-three billion, eight hundred seventy-six million, two hundred sixty-eight thousand, nine hundred ninety-six".