456090956565 has 32 divisors (see below), whose sum is σ = 732270798336. Its totient is φ = 242407080000.

The previous prime is 456090956551. The next prime is 456090956599. The reversal of 456090956565 is 565659090654.

It is a happy number.

It is not a de Polignac number, because 456090956565 - 2⁹ = 456090956053 is a prime.

It is a super-3 number, since 3×456090956565³ (a number of 36 digits) contains 333 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 456090956499 and 456090956508.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 40532190 + ... + 40543440.

It is an arithmetic number, because the mean of its divisors is an integer number (22883462448).

Almost surely, 2^456090956565 is an apocalyptic number.

It is an amenable number.

456090956565 is a deficient number, since it is larger than the sum of its proper divisors (276179841771).

456090956565 is a wasteful number, since it uses less digits than its factorization.

456090956565 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20369.

The product of its (nonzero) digits is 43740000, while the sum is 60.

The spelling of 456090956565 in words is "four hundred fifty-six billion, ninety million, nine hundred fifty-six thousand, five hundred sixty-five".