12415145616 has 80 divisors (see below), whose sum is σ = 35678430720. Its totient is φ = 4133462400.

The previous prime is 12415145609. The next prime is 12415145629. The reversal of 12415145616 is 61654151421.

12415145616 is a `hidden beast` number, since 1 + 2 + 41 + 51 + 4 + 561 + 6 = 666.

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

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, 356166 + ... + 389466.

It is an arithmetic number, because the mean of its divisors is an integer number (445980384).

Almost surely, 2^12415145616 is an apocalyptic number.

12415145616 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 12415145616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17839215360).

12415145616 is an abundant number, since it is smaller than the sum of its proper divisors (23263285104).

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

12415145616 is a wasteful number, since it uses less digits than its factorization.

12415145616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34181 (or 34169 counting only the distinct ones).

The product of its digits is 28800, while the sum is 36.

The spelling of 12415145616 in words is "twelve billion, four hundred fifteen million, one hundred forty-five thousand, six hundred sixteen".