12516367930416 has 640 divisors, whose sum is σ = 43974944153600. Its totient is φ = 3328965319680.

The previous prime is 12516367930373. The next prime is 12516367930421. The reversal of 12516367930416 is 61403976361521.

12516367930416 is a `hidden beast` number, since 1 + 2 + 5 + 163 + 67 + 9 + 3 + 0 + 416 = 666.

It is a super-2 number, since 2×12516367930416² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1620657531 + ... + 1620665253.

It is an arithmetic number, because the mean of its divisors is an integer number (68710850240).

Almost surely, 2^{12516367930416} is an apocalyptic number.

12516367930416 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 12516367930416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21987472076800).

12516367930416 is an abundant number, since it is smaller than the sum of its proper divisors (31458576223184).

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

12516367930416 is a wasteful number, since it uses less digits than its factorization.

12516367930416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8254 (or 8242 counting only the distinct ones).

The product of its (nonzero) digits is 4898880, while the sum is 54.

The spelling of 12516367930416 in words is "twelve trillion, five hundred sixteen billion, three hundred sixty-seven million, nine hundred thirty thousand, four hundred sixteen".