12949115886144 has 945 divisors, whose sum is σ = 41919958887499. Its totient is φ = 3952003461120.

The previous prime is 12949115886097. The next prime is 12949115886181. The reversal of 12949115886144 is 44168851194921.

The square root of 12949115886144 is 3598488.

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

12949115886144 is a `hidden beast` number, since 1 + 2 + 9 + 4 + 9 + 1 + 1 + 5 + 8 + 8 + 614 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1401950721600 + 11547165164544 = 1184040^2 + 3398112^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 244322941222 + ... + 244322941274.

Almost surely, 2^{12949115886144} is an apocalyptic number.

12949115886144 is the 3598488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12949115886144

12949115886144 is an abundant number, since it is smaller than the sum of its proper divisors (28970843001355).

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

12949115886144 is an frugal number, since it uses more digits than its factorization.

12949115886144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 258 (or 122 counting only the distinct ones).

The product of its digits is 19906560, while the sum is 63.

The spelling of 12949115886144 in words is "twelve trillion, nine hundred forty-nine billion, one hundred fifteen million, eight hundred eighty-six thousand, one hundred forty-four".