116434048592521 has 81 divisors (see below), whose sum is σ = 143531624626677. Its totient is φ = 94348338036480.

The previous prime is 116434048592503. The next prime is 116434048592579. The reversal of 116434048592521 is 125295840434611.

The square root of 116434048592521 is 10790461.

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 45914026928121 + 70520021664400 = 6775989^2 + 8397620^2 .

It is not a de Polignac number, because 116434048592521 - 2¹¹ = 116434048590473 is a prime.

It is a super-2 number, since 2×116434048592521² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (116434048592581) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 38338506415 + ... + 38338509451.

Almost surely, 2^{116434048592521} is an apocalyptic number.

116434048592521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

116434048592521 is the 10790461-st square number.

116434048592521 is the 5395231-st centered octagonal number.

It is an amenable number.

116434048592521 is a deficient number, since it is larger than the sum of its proper divisors (27097576034156).

116434048592521 is an frugal number, since it uses more digits than its factorization.

116434048592521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6168 (or 3084 counting only the distinct ones).

The product of its (nonzero) digits is 8294400, while the sum is 55.

The spelling of 116434048592521 in words is "one hundred sixteen trillion, four hundred thirty-four billion, forty-eight million, five hundred ninety-two thousand, five hundred twenty-one".