12461662491664 has 45 divisors (see below), whose sum is σ = 24311706674493. Its totient is φ = 6187968674496.

The previous prime is 12461662491643. The next prime is 12461662491697. The reversal of 12461662491664 is 46619426616421.

It is a happy number.

The square root of 12461662491664 is 3530108.

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

12461662491664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 1459969557264 + 11001692934400 = 1208292^2 + 3316880^2 .

It is a super-2 number, since 2×12461662491664² (a number of 27 digits) contains 22 as substring.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 12461662491599 and 12461662491608.

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, 2103941407 + ... + 2103947329.

Almost surely, 2^{12461662491664} is an apocalyptic number.

12461662491664 is the 3530108-th square number.

It is an amenable number.

12461662491664 is a deficient number, since it is larger than the sum of its proper divisors (11850044182829).

12461662491664 is an frugal number, since it uses more digits than its factorization.

12461662491664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12152 (or 6074 counting only the distinct ones).

The product of its digits is 17915904, while the sum is 58.

The spelling of 12461662491664 in words is "twelve trillion, four hundred sixty-one billion, six hundred sixty-two million, four hundred ninety-one thousand, six hundred sixty-four".