12553614299664 has 45 divisors (see below), whose sum is σ = 35132803453423. Its totient is φ = 4184523927456.

The previous prime is 12553614299651. The next prime is 12553614299719. The reversal of 12553614299664 is 46699241635521.

The square root of 12553614299664 is 3543108.

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

12553614299664 is a `hidden beast` number, since 1 + 2 + 5 + 5 + 3 + 61 + 429 + 96 + 64 = 666.

It is a super-2 number, since 2×12553614299664² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 42369667 + ... + 42664925.

Almost surely, 2^{12553614299664} is an apocalyptic number.

12553614299664 is the 3543108-th square number.

It is an amenable number.

12553614299664 is an abundant number, since it is smaller than the sum of its proper divisors (22579189153759).

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

12553614299664 is an frugal number, since it uses more digits than its factorization.

12553614299664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 590532 (or 295264 counting only the distinct ones).

The product of its digits is 83980800, while the sum is 63.

The spelling of 12553614299664 in words is "twelve trillion, five hundred fifty-three billion, six hundred fourteen million, two hundred ninety-nine thousand, six hundred sixty-four".