116111999776032 has 576 divisors, whose sum is σ = 368425409264640. Its totient is φ = 34446311424000.

The previous prime is 116111999776021. The next prime is 116111999776081. The reversal of 116111999776032 is 230677999111611.

116111999776032 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 1 + 19 + 9 + 9 + 7 + 7 + 603 + 2 = 666.

It is an unprimeable number.

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 95 ways as a sum of consecutive naturals, for example, 41453765032 + ... + 41453767832.

It is an arithmetic number, because the mean of its divisors is an integer number (639627446640).

Almost surely, 2^{116111999776032} is an apocalyptic number.

116111999776032 is a gapful number since it is divisible by the number (12) 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 116111999776032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (184212704632320).

116111999776032 is an abundant number, since it is smaller than the sum of its proper divisors (252313409488608).

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

116111999776032 is a wasteful number, since it uses less digits than its factorization.

116111999776032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4057 (or 4046 counting only the distinct ones).

The product of its (nonzero) digits is 7715736, while the sum is 63.

The spelling of 116111999776032 in words is "one hundred sixteen trillion, one hundred eleven billion, nine hundred ninety-nine million, seven hundred seventy-six thousand, thirty-two".