456406513353 has 40 divisors (see below), whose sum is σ = 779246930880. Its totient is φ = 260785124640.

The previous prime is 456406513351. The next prime is 456406513361. The reversal of 456406513353 is 353315604654.

456406513353 is a `hidden beast` number, since 4 + 564 + 0 + 6 + 5 + 1 + 33 + 53 = 666.

It is not a de Polignac number, because 456406513353 - 2¹ = 456406513351 is a prime.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 456406513299 and 456406513308.

It is not an unprimeable number, because it can be changed into a prime (456406513351) by changing a digit.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 13801843 + ... + 13834871.

It is an arithmetic number, because the mean of its divisors is an integer number (19481173272).

Almost surely, 2^456406513353 is an apocalyptic number.

It is an amenable number.

456406513353 is a deficient number, since it is larger than the sum of its proper divisors (322840417527).

456406513353 is a wasteful number, since it uses less digits than its factorization.

456406513353 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 57419 (or 57410 counting only the distinct ones).

The product of its (nonzero) digits is 1944000, while the sum is 45.

The spelling of 456406513353 in words is "four hundred fifty-six billion, four hundred six million, five hundred thirteen thousand, three hundred fifty-three".