114023616 has 112 divisors (see below), whose sum is σ = 352982784. Its totient is φ = 31804416.

The previous prime is 114023599. The next prime is 114023633. The reversal of 114023616 is 616320411.

It is an interprime number because it is at equal distance from previous prime (114023599) and next prime (114023633).

It is a tau number, because it is divible by the number of its divisors (112).

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

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 56806 + ... + 58778.

It is an arithmetic number, because the mean of its divisors is an integer number (3151632).

Almost surely, 2^114023616 is an apocalyptic number.

114023616 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 114023616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (176491392).

114023616 is an abundant number, since it is smaller than the sum of its proper divisors (238959168).

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

114023616 is a wasteful number, since it uses less digits than its factorization.

114023616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2038 (or 2028 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 24.

The square root of 114023616 is about 10678.1841152885. The cubic root of 114023616 is about 484.9142385646.

The spelling of 114023616 in words is "one hundred fourteen million, twenty-three thousand, six hundred sixteen".