456011088961 has 8 divisors (see below), whose sum is σ = 471773601000. Its totient is φ = 440251109760.

The previous prime is 456011088901. The next prime is 456011089007. The reversal of 456011088961 is 169880110654.

It can be written as a sum of positive squares in 4 ways, for example, as 93403584400 + 362607504561 = 305620^2 + 602169^2 .

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

It is a cyclic number.

It is not a de Polignac number, because 456011088961 - 2⁷ = 456011088833 is a prime.

It is a super-2 number, since 2×456011088961² (a number of 24 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (456011088901) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 263236 + ... + 990613.

It is an arithmetic number, because the mean of its divisors is an integer number (58971700125).

Almost surely, 2^456011088961 is an apocalyptic number.

It is an amenable number.

456011088961 is a deficient number, since it is larger than the sum of its proper divisors (15762512039).

456011088961 is a wasteful number, since it uses less digits than its factorization.

456011088961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1266419.

The product of its (nonzero) digits is 414720, while the sum is 49.

The spelling of 456011088961 in words is "four hundred fifty-six billion, eleven million, eighty-eight thousand, nine hundred sixty-one".