114008708736 has 768 divisors, whose sum is σ = 387058176000. Its totient is φ = 32969244672.

The previous prime is 114008708699. The next prime is 114008708741. The reversal of 114008708736 is 637807800411.

It is a junction number, because it is equal to n+sod(n) for n = 114008708691 and 114008708700.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 897706305 + ... + 897706431.

It is an arithmetic number, because the mean of its divisors is an integer number (503982000).

Almost surely, 2^114008708736 is an apocalyptic number.

114008708736 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 114008708736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193529088000).

114008708736 is an abundant number, since it is smaller than the sum of its proper divisors (273049467264).

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

114008708736 is a wasteful number, since it uses less digits than its factorization.

114008708736 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 258 (or 227 counting only the distinct ones).

The product of its (nonzero) digits is 225792, while the sum is 45.

The spelling of 114008708736 in words is "one hundred fourteen billion, eight million, seven hundred eight thousand, seven hundred thirty-six".