12416283360 has 144 divisors (see below), whose sum is σ = 45629910144. Its totient is φ = 3056311296.

The previous prime is 12416283331. The next prime is 12416283371. The reversal of 12416283360 is 6338261421.

12416283360 is a `hidden beast` number, since 1 + 2 + 4 + 16 + 283 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

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, 312912 + ... + 350351.

It is an arithmetic number, because the mean of its divisors is an integer number (316874376).

Almost surely, 2^12416283360 is an apocalyptic number.

12416283360 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

12416283360 is an abundant number, since it is smaller than the sum of its proper divisors (33213626784).

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

12416283360 is a wasteful number, since it uses less digits than its factorization.

12416283360 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 663297 (or 663286 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 12416283360 in words is "twelve billion, four hundred sixteen million, two hundred eighty-three thousand, three hundred sixty".