84517536961 has 81 divisors (see below), whose sum is σ = 107169898563. Its totient is φ = 66563022240.

The previous prime is 84517536953. The next prime is 84517537003. The reversal of 84517536961 is 16963571548.

The square root of 84517536961 is 290719.

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., 12502594225 + 72014942736 = 111815^2 + 268356^2 .

It is not a de Polignac number, because 84517536961 - 2³ = 84517536953 is a prime.

It is a super-2 number, since 2×84517536961² (a number of 23 digits) contains 22 as substring.

Its product of digits (5443200) is a multiple of the sum of its prime divisors (150).

It is not an unprimeable number, because it can be changed into a prime (84517536931) by changing a digit.

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 80 ways as a sum of consecutive naturals, for example, 789883470 + ... + 789883576.

Almost surely, 2^84517536961 is an apocalyptic number.

84517536961 is the 290719-th square number.

84517536961 is the 145360-th centered octagonal number.

It is an amenable number.

84517536961 is a deficient number, since it is larger than the sum of its proper divisors (22652361602).

84517536961 is a wasteful number, since it uses less digits than its factorization.

84517536961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 300 (or 150 counting only the distinct ones).

The product of its digits is 5443200, while the sum is 55.

The spelling of 84517536961 in words is "eighty-four billion, five hundred seventeen million, five hundred thirty-six thousand, nine hundred sixty-one".