114099722464896 has 1024 divisors, whose sum is σ = 434989937664000. Its totient is φ = 28657881907200.

The previous prime is 114099722464831. The next prime is 114099722464901. The reversal of 114099722464896 is 698464227990411.

114099722464896 is a `hidden beast` number, since 1 + 1 + 4 + 0 + 9 + 9 + 72 + 2 + 464 + 8 + 96 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 554692306 + ... + 554897966.

It is an arithmetic number, because the mean of its divisors is an integer number (424794861000).

Almost surely, 2^{114099722464896} is an apocalyptic number.

114099722464896 is a gapful number since it is divisible by the number (16) 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 114099722464896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (217494968832000).

114099722464896 is an abundant number, since it is smaller than the sum of its proper divisors (320890215199104).

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

114099722464896 is a wasteful number, since it uses less digits than its factorization.

114099722464896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 205798 (or 205780 counting only the distinct ones).

The product of its (nonzero) digits is 376233984, while the sum is 72.

The spelling of 114099722464896 in words is "one hundred fourteen trillion, ninety-nine billion, seven hundred twenty-two million, four hundred sixty-four thousand, eight hundred ninety-six".