12365501616 has 240 divisors, whose sum is σ = 39628776096. Its totient is φ = 3565707264.

The previous prime is 12365501593. The next prime is 12365501651. The reversal of 12365501616 is 61610556321.

12365501616 is a `hidden beast` number, since 1 + 2 + 36 + 5 + 5 + 0 + 1 + 616 = 666.

It is a super-2 number, since 2×12365501616² (a number of 21 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9005506 + ... + 9006878.

Almost surely, 2^12365501616 is an apocalyptic number.

12365501616 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 12365501616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19814388048).

12365501616 is an abundant number, since it is smaller than the sum of its proper divisors (27263274480).

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

12365501616 is a wasteful number, since it uses less digits than its factorization.

12365501616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1700 (or 1691 counting only the distinct ones).

The product of its (nonzero) digits is 32400, while the sum is 36.

The spelling of 12365501616 in words is "twelve billion, three hundred sixty-five million, five hundred one thousand, six hundred sixteen".