116138880514944 has 1024 divisors, whose sum is σ = 414060595200000. Its totient is φ = 31331697205248.

The previous prime is 116138880514919. The next prime is 116138880515011. The reversal of 116138880514944 is 449415088831611.

116138880514944 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 38 + 8 + 80 + 514 + 9 + 4 + 4 = 666.

It is a super-2 number, since 2×116138880514944² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 13844182302 + ... + 13844190690.

It is an arithmetic number, because the mean of its divisors is an integer number (404356050000).

Almost surely, 2^{116138880514944} is an apocalyptic number.

116138880514944 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 116138880514944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (207030297600000).

116138880514944 is an abundant number, since it is smaller than the sum of its proper divisors (297921714685056).

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

116138880514944 is a wasteful number, since it uses less digits than its factorization.

116138880514944 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8760 (or 8742 counting only the distinct ones).

The product of its (nonzero) digits is 26542080, while the sum is 63.

The spelling of 116138880514944 in words is "one hundred sixteen trillion, one hundred thirty-eight billion, eight hundred eighty million, five hundred fourteen thousand, nine hundred forty-four".