13166437137552 has 60 divisors (see below), whose sum is σ = 36849841663180. Its totient is φ = 4388561731584.

The previous prime is 13166437137533. The next prime is 13166437137571. The reversal of 13166437137552 is 25573173466131.

13166437137552 is a `hidden beast` number, since 1 + 3 + 16 + 6 + 4 + 3 + 71 + 3 + 7 + 552 = 666.

It is an interprime number because it is at equal distance from previous prime (13166437137533) and next prime (13166437137571).

It can be written as a sum of positive squares in 2 ways, for example, as 7287926547456 + 5878510590096 = 2699616^2 + 2424564^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 72193 + ... + 5132064.

Almost surely, 2^{13166437137552} is an apocalyptic number.

13166437137552 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

13166437137552 is an abundant number, since it is smaller than the sum of its proper divisors (23683404525628).

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

13166437137552 is a wasteful number, since it uses less digits than its factorization.

13166437137552 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5221840 (or 5221831 counting only the distinct ones).

The product of its digits is 9525600, while the sum is 54.

The spelling of 13166437137552 in words is "thirteen trillion, one hundred sixty-six billion, four hundred thirty-seven million, one hundred thirty-seven thousand, five hundred fifty-two".