114165408 has 48 divisors (see below), whose sum is σ = 342498240. Its totient is φ = 32618496.

The previous prime is 114165383. The next prime is 114165419. The reversal of 114165408 is 804561411.

It is a tau number, because it is divible by the number of its divisors (48).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 84273 + ... + 85616.

It is an arithmetic number, because the mean of its divisors is an integer number (7135380).

Almost surely, 2^114165408 is an apocalyptic number.

It is an amenable number.

114165408 is an abundant number, since it is smaller than the sum of its proper divisors (228332832).

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

114165408 is a wasteful number, since it uses less digits than its factorization.

114165408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 169909 (or 169901 counting only the distinct ones).

The product of its (nonzero) digits is 3840, while the sum is 30.

The square root of 114165408 is about 10684.8213836264. The cubic root of 114165408 is about 485.1151574073.

The spelling of 114165408 in words is "one hundred fourteen million, one hundred sixty-five thousand, four hundred eight".