456670144061601 has 16 divisors (see below), whose sum is σ = 614543710408320. Its totient is φ = 301622252083200.

The previous prime is 456670144061591. The next prime is 456670144061623. The reversal of 456670144061601 is 106160441076654.

It is not a de Polignac number, because 456670144061601 - 2⁵ = 456670144061569 is a prime.

It is a super-2 number, since 2×456670144061601² (a number of 30 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (456670144061801) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 69589605 + ... + 75868658.

It is an arithmetic number, because the mean of its divisors is an integer number (38408981900520).

Almost surely, 2^{456670144061601} is an apocalyptic number.

It is an amenable number.

456670144061601 is a deficient number, since it is larger than the sum of its proper divisors (157873566346719).

456670144061601 is a wasteful number, since it uses less digits than its factorization.

456670144061601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 145467976.

The product of its (nonzero) digits is 2903040, while the sum is 51.

The spelling of 456670144061601 in words is "four hundred fifty-six trillion, six hundred seventy billion, one hundred forty-four million, sixty-one thousand, six hundred one".