114108865416 has 192 divisors, whose sum is σ = 382278624000. Its totient is φ = 29943074304.

The previous prime is 114108865313. The next prime is 114108865441. The reversal of 114108865416 is 614568801411.

114108865416 is a `hidden beast` number, since 1 + 14 + 10 + 8 + 86 + 541 + 6 = 666.

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 47 ways as a sum of consecutive naturals, for example, 1260090 + ... + 1347606.

It is an arithmetic number, because the mean of its divisors is an integer number (1991034500).

Almost surely, 2^114108865416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 114108865416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (191139312000).

114108865416 is an abundant number, since it is smaller than the sum of its proper divisors (268169758584).

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

114108865416 is a wasteful number, since it uses less digits than its factorization.

114108865416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 87748 (or 87741 counting only the distinct ones).

The product of its (nonzero) digits is 184320, while the sum is 45.

The spelling of 114108865416 in words is "one hundred fourteen billion, one hundred eight million, eight hundred sixty-five thousand, four hundred sixteen".