116512416 has 36 divisors (see below), whose sum is σ = 331333002. Its totient is φ = 38837376.

The previous prime is 116512387. The next prime is 116512463. The reversal of 116512416 is 614215611.

116512416 is a `hidden beast` number, since 1 + 1 + 651 + 2 + 4 + 1 + 6 = 666.

It can be written as a sum of positive squares in only one way, i.e., 67568400 + 48944016 = 8220^2 + 6996^2 .

It is a tau number, because it is divible by the number of its divisors (36).

It is a self number, because there is not a number n which added to its sum of digits gives 116512416.

It is an unprimeable number.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 201991 + ... + 202566.

Almost surely, 2^116512416 is an apocalyptic number.

116512416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

It is an amenable number.

116512416 is an abundant number, since it is smaller than the sum of its proper divisors (214820586).

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

116512416 is a wasteful number, since it uses less digits than its factorization.

116512416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 404573 (or 404562 counting only the distinct ones).

The product of its digits is 1440, while the sum is 27.

The square root of 116512416 is about 10794.0917172312. The cubic root of 116512416 is about 488.4169597710.

The spelling of 116512416 in words is "one hundred sixteen million, five hundred twelve thousand, four hundred sixteen".