12604151616 has 336 divisors, whose sum is σ = 41807831040. Its totient is φ = 3331722240.

The previous prime is 12604151587. The next prime is 12604151627. The reversal of 12604151616 is 61615140621.

It is a tau number, because it is divible by the number of its divisors (336).

It is a super-2 number, since 2×12604151616² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6706965 + ... + 6708843.

Almost surely, 2^12604151616 is an apocalyptic number.

12604151616 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 12604151616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20903915520).

12604151616 is an abundant number, since it is smaller than the sum of its proper divisors (29203679424).

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

12604151616 is a wasteful number, since it uses less digits than its factorization.

12604151616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1962 (or 1945 counting only the distinct ones).

The product of its (nonzero) digits is 8640, while the sum is 33.

The spelling of 12604151616 in words is "twelve billion, six hundred four million, one hundred fifty-one thousand, six hundred sixteen".