116114826038400 has 1152 divisors, whose sum is σ = 498683193840000. Its totient is φ = 25131156111360.

The previous prime is 116114826038399. The next prime is 116114826038441. The reversal of 116114826038400 is 4830628411611.

116114826038400 is a `hidden beast` number, since 1 + 1 + 6 + 1 + 1 + 4 + 8 + 260 + 384 + 0 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 9150819256 + ... + 9150831944.

It is an arithmetic number, because the mean of its divisors is an integer number (432884716875).

Almost surely, 2^{116114826038400} is an apocalyptic number.

116114826038400 is a gapful number since it is divisible by the number (10) 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 116114826038400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (249341596920000).

116114826038400 is an abundant number, since it is smaller than the sum of its proper divisors (382568367801600).

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

116114826038400 is a wasteful number, since it uses less digits than its factorization.

116114826038400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15134 (or 15114 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 116114826038400 in words is "one hundred sixteen trillion, one hundred fourteen billion, eight hundred twenty-six million, thirty-eight thousand, four hundred".