114460416 has 216 divisors, whose sum is σ = 387738624. Its totient is φ = 31795200.

The previous prime is 114460391. The next prime is 114460421. The reversal of 114460416 is 614064411.

114460416 is a `hidden beast` number, since 1 + 1 + 44 + 604 + 16 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 114460416.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 757941 + ... + 758091.

Almost surely, 2^114460416 is an apocalyptic number.

114460416 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 114460416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (193869312).

114460416 is an abundant number, since it is smaller than the sum of its proper divisors (273278208).

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

114460416 is a wasteful number, since it uses less digits than its factorization.

114460416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 227 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

The square root of 114460416 is about 10698.6174807776. The cubic root of 114460416 is about 485.5326503582.

The spelling of 114460416 in words is "one hundred fourteen million, four hundred sixty thousand, four hundred sixteen".