83641267264 has 21 divisors (see below), whose sum is σ = 165980231031. Its totient is φ = 41819476800.

The previous prime is 83641267217. The next prime is 83641267271. The reversal of 83641267264 is 46276214638.

The square root of 83641267264 is 289208.

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

It is a super-3 number, since 3×83641267264³ (a number of 34 digits) contains 333 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 2 ways as a sum of consecutive naturals, for example, 2295589 + ... + 2331739.

Almost surely, 2^83641267264 is an apocalyptic number.

83641267264 is the 289208-th square number.

It is an amenable number.

83641267264 is a deficient number, since it is larger than the sum of its proper divisors (82338963767).

83641267264 is an frugal number, since it uses more digits than its factorization.

83641267264 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 72314 (or 36153 counting only the distinct ones).

The product of its digits is 2322432, while the sum is 49.

Multiplying 83641267264 by its sum of digits (49), we get a square (4098422095936 = 2024456²).

The spelling of 83641267264 in words is "eighty-three billion, six hundred forty-one million, two hundred sixty-seven thousand, two hundred sixty-four".