12534658746624 has 729 divisors, whose sum is σ = 43259726029611. Its totient is φ = 3480386273280.

The previous prime is 12534658746587. The next prime is 12534658746683. The reversal of 12534658746624 is 42664785643521.

The square root of 12534658746624 is 3540432.

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

12534658746624 is a `hidden beast` number, since 1 + 2 + 5 + 3 + 4 + 6 + 587 + 46 + 6 + 2 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 116308281600 + 12418350465024 = 341040^2 + 3523968^2 .

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 80 ways as a sum of consecutive naturals, for example, 48772991104 + ... + 48772991360.

Almost surely, 2^{12534658746624} is an apocalyptic number.

12534658746624 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

12534658746624 is the 3540432-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12534658746624

12534658746624 is an abundant number, since it is smaller than the sum of its proper divisors (30725067282987).

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

12534658746624 is an frugal number, since it uses more digits than its factorization.

12534658746624 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 632 (or 310 counting only the distinct ones).

The product of its digits is 232243200, while the sum is 63.

The spelling of 12534658746624 in words is "twelve trillion, five hundred thirty-four billion, six hundred fifty-eight million, seven hundred forty-six thousand, six hundred twenty-four".