83167638544 has 45 divisors (see below), whose sum is σ = 171213903991. Its totient is φ = 39128483840.

The previous prime is 83167638517. The next prime is 83167638563. The reversal of 83167638544 is 44583676138.

The square root of 83167638544 is 288388.

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 55648810000 + 27518828544 = 235900^2 + 165888^2 .

It is a super-2 number, since 2×83167638544² (a number of 23 digits) contains 22 as substring.

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 8 ways as a sum of consecutive naturals, for example, 19608264 + ... + 19612504.

Almost surely, 2^83167638544 is an apocalyptic number.

83167638544 is the 288388-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 83167638544

83167638544 is an abundant number, since it is smaller than the sum of its proper divisors (88046265447).

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

83167638544 is an frugal number, since it uses more digits than its factorization.

83167638544 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8524 (or 4260 counting only the distinct ones).

The product of its digits is 11612160, while the sum is 55.

The spelling of 83167638544 in words is "eighty-three billion, one hundred sixty-seven million, six hundred thirty-eight thousand, five hundred forty-four".