456051577721 has 8 divisors (see below), whose sum is σ = 459480470664. Its totient is φ = 452624135040.

The previous prime is 456051577711. The next prime is 456051577769. The reversal of 456051577721 is 127775150654.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 22250197225 + 433801380496 = 149165^2 + 658636^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-456051577721 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 456051577721.

It is not an unprimeable number, because it can be changed into a prime (456051577711) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 272891 + ... + 993263.

It is an arithmetic number, because the mean of its divisors is an integer number (57435058833).

Almost surely, 2^456051577721 is an apocalyptic number.

It is an amenable number.

456051577721 is a deficient number, since it is larger than the sum of its proper divisors (3428892943).

456051577721 is a wasteful number, since it uses less digits than its factorization.

456051577721 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 725131.

The product of its (nonzero) digits is 2058000, while the sum is 50.

The spelling of 456051577721 in words is "four hundred fifty-six billion, fifty-one million, five hundred seventy-seven thousand, seven hundred twenty-one".