116137682801952 has 96 divisors (see below), whose sum is σ = 354318354432000. Its totient is φ = 32619784988928.

The previous prime is 116137682801929. The next prime is 116137682801977. The reversal of 116137682801952 is 259108286731611.

It is a happy number.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×116137682801952² (a number of 29 digits) contains 22 as substring.

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 15 ways as a sum of consecutive naturals, for example, 1464569952 + ... + 1464649247.

It is an arithmetic number, because the mean of its divisors is an integer number (3690816192000).

Almost surely, 2^{116137682801952} is an apocalyptic number.

116137682801952 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

116137682801952 is an abundant number, since it is smaller than the sum of its proper divisors (238180671630048).

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

116137682801952 is a wasteful number, since it uses less digits than its factorization.

116137682801952 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2929219278 (or 2929219270 counting only the distinct ones).

The product of its (nonzero) digits is 8709120, while the sum is 60.

The spelling of 116137682801952 in words is "one hundred sixteen trillion, one hundred thirty-seven billion, six hundred eighty-two million, eight hundred one thousand, nine hundred fifty-two".