456126553645413 has 48 divisors (see below), whose sum is σ = 738319408122240. Its totient is φ = 249278104018944.

The previous prime is 456126553645409. The next prime is 456126553645429. The reversal of 456126553645413 is 314546355621654.

It is a happy number.

It is not a de Polignac number, because 456126553645413 - 2² = 456126553645409 is a prime.

It is a Curzon number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456126553645313) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 16313181 + ... + 34327437.

It is an arithmetic number, because the mean of its divisors is an integer number (15381654335880).

Almost surely, 2^{456126553645413} is an apocalyptic number.

It is an amenable number.

456126553645413 is a deficient number, since it is larger than the sum of its proper divisors (282192854476827).

456126553645413 is a wasteful number, since it uses less digits than its factorization.

456126553645413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18021786 (or 18021779 counting only the distinct ones).

The product of its digits is 155520000, while the sum is 60.

The spelling of 456126553645413 in words is "four hundred fifty-six trillion, one hundred twenty-six billion, five hundred fifty-three million, six hundred forty-five thousand, four hundred thirteen".