456614656456 has 64 divisors (see below), whose sum is σ = 985035098880. Its totient is φ = 194377847040.

The previous prime is 456614656451. The next prime is 456614656469. The reversal of 456614656456 is 654656416654.

It is a self number, because there is not a number n which added to its sum of digits gives 456614656456.

It is not an unprimeable number, because it can be changed into a prime (456614656451) 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, 31476901 + ... + 31491403.

It is an arithmetic number, because the mean of its divisors is an integer number (15391173420).

Almost surely, 2^456614656456 is an apocalyptic number.

It is an amenable number.

456614656456 is an abundant number, since it is smaller than the sum of its proper divisors (528420442424).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

456614656456 is a wasteful number, since it uses less digits than its factorization.

456614656456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18254 (or 18250 counting only the distinct ones).

The product of its digits is 62208000, while the sum is 58.

The spelling of 456614656456 in words is "four hundred fifty-six billion, six hundred fourteen million, six hundred fifty-six thousand, four hundred fifty-six".