114742656000 has 2112 divisors, whose sum is σ = 535619395584. Its totient is φ = 23887872000.

The previous prime is 114742655977. The next prime is 114742656011. The reversal of 114742656000 is 656247411.

114742656000 is a `hidden beast` number, since 1 + 1 + 4 + 7 + 42 + 6 + 5 + 600 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3701375985 + ... + 3701376015.

Almost surely, 2^114742656000 is an apocalyptic number.

114742656000 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 114742656000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (267809697792).

114742656000 is an abundant number, since it is smaller than the sum of its proper divisors (420876739584).

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

114742656000 is an equidigital number, since it uses as much as digits as its factorization.

114742656000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 105 (or 65 counting only the distinct ones).

The product of its (nonzero) digits is 40320, while the sum is 36.

The spelling of 114742656000 in words is "one hundred fourteen billion, seven hundred forty-two million, six hundred fifty-six thousand".