114614016 has 72 divisors (see below), whose sum is σ = 332795904. Its totient is φ = 34728960.

The previous prime is 114613973. The next prime is 114614029. The reversal of 114614016 is 610416411.

It is a Harshad number since it is a multiple of its sum of digits (24).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1665 + ... + 15231.

Almost surely, 2^114614016 is an apocalyptic number.

114614016 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 114614016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (166397952).

114614016 is an abundant number, since it is smaller than the sum of its proper divisors (218181888).

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

114614016 is a wasteful number, since it uses less digits than its factorization.

114614016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13597 (or 13583 counting only the distinct ones).

The product of its (nonzero) digits is 576, while the sum is 24.

The square root of 114614016 is about 10705.7935717069. The cubic root of 114614016 is about 485.7497399066.

The spelling of 114614016 in words is "one hundred fourteen million, six hundred fourteen thousand, sixteen".