116443192453632 has 1280 divisors, whose sum is σ = 424292500684800. Its totient is φ = 31089634836480.

The previous prime is 116443192453583. The next prime is 116443192453639. The reversal of 116443192453632 is 236354291344611.

116443192453632 is a `hidden beast` number, since 1 + 1 + 6 + 4 + 4 + 31 + 9 + 245 + 363 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (116443192453639) 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 127 ways as a sum of consecutive naturals, for example, 2794459294 + ... + 2794500962.

It is an arithmetic number, because the mean of its divisors is an integer number (331478516160).

Almost surely, 2^{116443192453632} is an apocalyptic number.

116443192453632 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 116443192453632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (212146250342400).

116443192453632 is an abundant number, since it is smaller than the sum of its proper divisors (307849308231168).

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

116443192453632 is a wasteful number, since it uses less digits than its factorization.

116443192453632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41794 (or 41772 counting only the distinct ones).

The product of its digits is 11197440, while the sum is 54.

The spelling of 116443192453632 in words is "one hundred sixteen trillion, four hundred forty-three billion, one hundred ninety-two million, four hundred fifty-three thousand, six hundred thirty-two".