84524836800121 has 27 divisors (see below), whose sum is σ = 89758376002701. Its totient is φ = 79584829379424.

The previous prime is 84524836800109. The next prime is 84524836800127. The reversal of 84524836800121 is 12100863842548.

The square root of 84524836800121 is 9193739.

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 37562324273721 + 46962512526400 = 6128811^2 + 6852920^2 .

It is a de Polignac number, because none of the positive numbers 2^k-84524836800121 is a prime.

It is a super-2 number, since 2×84524836800121² (a number of 29 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (84524836800127) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 30219818695 + ... + 30219821491.

Almost surely, 2^{84524836800121} is an apocalyptic number.

84524836800121 is the 9193739-th square number.

84524836800121 is the 4596870-th centered octagonal number.

It is an amenable number.

84524836800121 is a deficient number, since it is larger than the sum of its proper divisors (5233539202580).

84524836800121 is an frugal number, since it uses more digits than its factorization.

84524836800121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5978 (or 2989 counting only the distinct ones).

The product of its (nonzero) digits is 2949120, while the sum is 52.

The spelling of 84524836800121 in words is "eighty-four trillion, five hundred twenty-four billion, eight hundred thirty-six million, eight hundred thousand, one hundred twenty-one".