114626016 has 72 divisors (see below), whose sum is σ = 338063544. Its totient is φ = 38206080.

The previous prime is 114625999. The next prime is 114626027. The reversal of 114626016 is 610626411.

114626016 is a `hidden beast` number, since 11 + 46 + 2 + 601 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (72).

It is a Harshad number since it is a multiple of its sum of digits (27).

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 11 ways as a sum of consecutive naturals, for example, 406 + ... + 15146.

It is an arithmetic number, because the mean of its divisors is an integer number (4695327).

Almost surely, 2^114626016 is an apocalyptic number.

114626016 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 114626016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (169031772).

114626016 is an abundant number, since it is smaller than the sum of its proper divisors (223437528).

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

114626016 is an equidigital number, since it uses as much as digits as its factorization.

114626016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14766 (or 14746 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The square root of 114626016 is about 10706.3540012462. The cubic root of 114626016 is about 485.7666918574.

The spelling of 114626016 in words is "one hundred fourteen million, six hundred twenty-six thousand, sixteen".