12451514616 has 128 divisors (see below), whose sum is σ = 35038310400. Its totient is φ = 4096776960.

The previous prime is 12451514599. The next prime is 12451514627. The reversal of 12451514616 is 61641515421.

12451514616 is a `hidden beast` number, since 1 + 2 + 45 + 151 + 461 + 6 = 666.

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 31 ways as a sum of consecutive naturals, for example, 5650971 + ... + 5653173.

It is an arithmetic number, because the mean of its divisors is an integer number (273736800).

Almost surely, 2^12451514616 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12451514616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17519155200).

12451514616 is an abundant number, since it is smaller than the sum of its proper divisors (22586795784).

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

12451514616 is a wasteful number, since it uses less digits than its factorization.

12451514616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2546 (or 2536 counting only the distinct ones).

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

The spelling of 12451514616 in words is "twelve billion, four hundred fifty-one million, five hundred fourteen thousand, six hundred sixteen".