13285566172746 has 192 divisors, whose sum is σ = 35312762983680. Its totient is φ = 3662872980480.

The previous prime is 13285566172733. The next prime is 13285566172831. The reversal of 13285566172746 is 64727166558231.

13285566172746 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 5 + 5 + 6 + 617 + 2 + 7 + 4 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 175277376 + ... + 175353156.

It is an arithmetic number, because the mean of its divisors is an integer number (183920640540).

Almost surely, 2^{13285566172746} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13285566172746, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17656381491840).

13285566172746 is an abundant number, since it is smaller than the sum of its proper divisors (22027196810934).

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

13285566172746 is a wasteful number, since it uses less digits than its factorization.

13285566172746 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77611 (or 77599 counting only the distinct ones).

The product of its digits is 101606400, while the sum is 63.

The spelling of 13285566172746 in words is "thirteen trillion, two hundred eighty-five billion, five hundred sixty-six million, one hundred seventy-two thousand, seven hundred forty-six".