13546166544 has 225 divisors, whose sum is σ = 40626064479. Its totient is φ = 4357566720.

The previous prime is 13546166521. The next prime is 13546166567. The reversal of 13546166544 is 44566164531.

The square root of 13546166544 is 116388.

It is a perfect power (a square), and thus also a powerful number.

13546166544 is a `hidden beast` number, since 1 + 3 + 5 + 46 + 1 + 66 + 544 = 666.

It is an interprime number because it is at equal distance from previous prime (13546166521) and next prime (13546166567).

It can be written as a sum of positive squares in 4 ways, for example, as 1819875600 + 11726290944 = 42660^2 + 108288^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 13546166544.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 222068274 + ... + 222068334.

Almost surely, 2^13546166544 is an apocalyptic number.

13546166544 is the 116388-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13546166544

13546166544 is an abundant number, since it is smaller than the sum of its proper divisors (27079897935).

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

13546166544 is an frugal number, since it uses more digits than its factorization.

13546166544 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 248 (or 119 counting only the distinct ones).

The product of its digits is 1036800, while the sum is 45.

The spelling of 13546166544 in words is "thirteen billion, five hundred forty-six million, one hundred sixty-six thousand, five hundred forty-four".