116320905737089 has 45 divisors (see below), whose sum is σ = 126099000769617. Its totient is φ = 107285385276216.

The previous prime is 116320905737087. The next prime is 116320905737107. The reversal of 116320905737089 is 980737509023611.

It is a happy number.

The square root of 116320905737089 is 10785217.

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

It is not a de Polignac number, because 116320905737089 - 2¹ = 116320905737087 is a prime.

It is a super-2 number, since 2×116320905737089² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (116320905737087) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 378895458274 + ... + 378895458580.

Almost surely, 2^{116320905737089} is an apocalyptic number.

116320905737089 is a gapful number since it is divisible by the number (19) formed by its first and last digit.

116320905737089 is the 10785217-th square number.

116320905737089 is the 5392609-th centered octagonal number.

It is an amenable number.

116320905737089 is a deficient number, since it is larger than the sum of its proper divisors (9778095032528).

116320905737089 is an frugal number, since it uses more digits than its factorization.

116320905737089 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 824 (or 369 counting only the distinct ones).

The product of its (nonzero) digits is 17146080, while the sum is 61.

The spelling of 116320905737089 in words is "one hundred sixteen trillion, three hundred twenty billion, nine hundred five million, seven hundred thirty-seven thousand, eighty-nine".