12546189043600 has 405 divisors, whose sum is σ = 32421517739481. Its totient is φ = 4665318067200.

The previous prime is 12546189043543. The next prime is 12546189043681. The reversal of 12546189043600 is 634098164521.

The square root of 12546189043600 is 3542060.

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

It can be written as a sum of positive squares in 13 ways, for example, as 829972016784 + 11716217026816 = 911028^2 + 3422896^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 63686238702 + ... + 63686238898.

Almost surely, 2^{12546189043600} is an apocalyptic number.

12546189043600 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

12546189043600 is the 3542060-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12546189043600

12546189043600 is an abundant number, since it is smaller than the sum of its proper divisors (19875328695881).

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

12546189043600 is an equidigital number, since it uses as much as digits as its factorization.

12546189043600 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 532 (or 264 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

Multiplying 12546189043600 by its sum of digits (49), we get a square (614763263136400 = 24794420²).

The spelling of 12546189043600 in words is "twelve trillion, five hundred forty-six billion, one hundred eighty-nine million, forty-three thousand, six hundred".