114922704000 has 768 divisors, whose sum is σ = 426767477760. Its totient is φ = 27316224000.

The previous prime is 114922703983. The next prime is 114922704047. The reversal of 114922704000 is 407229411.

114922704000 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 251471772 + ... + 251472228.

It is an arithmetic number, because the mean of its divisors is an integer number (555686820).

Almost surely, 2^114922704000 is an apocalyptic number.

114922704000 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 114922704000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (213383738880).

114922704000 is an abundant number, since it is smaller than the sum of its proper divisors (311844773760).

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

114922704000 is a wasteful number, since it uses less digits than its factorization.

114922704000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 546 (or 511 counting only the distinct ones).

The product of its (nonzero) digits is 4032, while the sum is 30.

The spelling of 114922704000 in words is "one hundred fourteen billion, nine hundred twenty-two million, seven hundred four thousand".