456258369961 has 27 divisors (see below), whose sum is σ = 489227153751. Its totient is φ = 425448202464.

The previous prime is 456258369943. The next prime is 456258369991. The reversal of 456258369961 is 169963852654.

The square root of 456258369961 is 675469.

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

It can be written as a sum of positive squares in only one way, i.e., 258994477225 + 197263892736 = 508915^2 + 444144^2 .

It is a de Polignac number, because none of the positive numbers 2^k-456258369961 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 456258369893 and 456258369902.

It is not an unprimeable number, because it can be changed into a prime (456258369911) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 936875260 + ... + 936875746.

It is an arithmetic number, because the mean of its divisors is an integer number (18119524213).

Almost surely, 2^456258369961 is an apocalyptic number.

456258369961 is the 675469-th square number.

456258369961 is the 337735-th centered octagonal number.

It is an amenable number.

456258369961 is a deficient number, since it is larger than the sum of its proper divisors (32968783790).

456258369961 is an frugal number, since it uses more digits than its factorization.

456258369961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1158 (or 579 counting only the distinct ones).

The product of its digits is 83980800, while the sum is 64.

Multiplying 456258369961 by its sum of digits (64), we get a square (29200535677504 = 5403752²).

The spelling of 456258369961 in words is "four hundred fifty-six billion, two hundred fifty-eight million, three hundred sixty-nine thousand, nine hundred sixty-one".