12246363380160 has 4032 divisors, whose sum is σ = 58941401186304. Its totient is φ = 2360121753600.

The previous prime is 12246363380113. The next prime is 12246363380191. The reversal of 12246363380160 is 6108336364221.

12246363380160 is a `hidden beast` number, since 1 + 2 + 2 + 4 + 6 + 3 + 633 + 8 + 0 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 64117085665 + ... + 64117085855.

It is an arithmetic number, because the mean of its divisors is an integer number (14618403072).

Almost surely, 2^{12246363380160} is an apocalyptic number.

12246363380160 is a gapful number since it is divisible by the number (10) 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 12246363380160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29470700593152).

12246363380160 is an abundant number, since it is smaller than the sum of its proper divisors (46695037806144).

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

12246363380160 is a wasteful number, since it uses less digits than its factorization.

12246363380160 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314 (or 279 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 45.

The spelling of 12246363380160 in words is "twelve trillion, two hundred forty-six billion, three hundred sixty-three million, three hundred eighty thousand, one hundred sixty".