114904064 has 66 divisors (see below), whose sum is σ = 253082892. Its totient is φ = 51712000.

The previous prime is 114904063. The next prime is 114904091. The reversal of 114904064 is 460409411.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (114904063) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 1137614 + ... + 1137714.

Almost surely, 2^114904064 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 114904064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (126541446).

114904064 is an abundant number, since it is smaller than the sum of its proper divisors (138178828).

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

114904064 is an equidigital number, since it uses as much as digits as its factorization.

114904064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 233 (or 114 counting only the distinct ones).

The product of its (nonzero) digits is 3456, while the sum is 29.

The square root of 114904064 is about 10719.3313224287. The cubic root of 114904064 is about 486.1591489937.

The spelling of 114904064 in words is "one hundred fourteen million, nine hundred four thousand, sixty-four".