114058656 has 144 divisors (see below), whose sum is σ = 344844864. Its totient is φ = 35684352.

The previous prime is 114058643. The next prime is 114058657. The reversal of 114058656 is 656850411.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a self number, because there is not a number n which added to its sum of digits gives 114058656.

It is not an unprimeable number, because it can be changed into a prime (114058657) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 443680 + ... + 443936.

It is an arithmetic number, because the mean of its divisors is an integer number (2394756).

Almost surely, 2^114058656 is an apocalyptic number.

114058656 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 114058656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (172422432).

114058656 is an abundant number, since it is smaller than the sum of its proper divisors (230786208).

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

114058656 is a wasteful number, since it uses less digits than its factorization.

114058656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 363 (or 352 counting only the distinct ones).

The product of its (nonzero) digits is 28800, while the sum is 36.

The square root of 114058656 is about 10679.8247176627. The cubic root of 114058656 is about 484.9639056286.

The spelling of 114058656 in words is "one hundred fourteen million, fifty-eight thousand, six hundred fifty-six".