456193391654 has 64 divisors (see below), whose sum is σ = 927864225792. Its totient is φ = 162441072000.

The previous prime is 456193391623. The next prime is 456193391659.

456193391654 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×456193391654² (a number of 24 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 456193391654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456193391659) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 925862 + ... + 1330265.

It is an arithmetic number, because the mean of its divisors is an integer number (14497878528).

Almost surely, 2^456193391654 is an apocalyptic number.

456193391654 is an abundant number, since it is smaller than the sum of its proper divisors (471670834138).

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

456193391654 is a wasteful number, since it uses less digits than its factorization.

456193391654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2256261.

The product of its digits is 10497600, while the sum is 56.

The spelling of 456193391654 in words is "four hundred fifty-six billion, one hundred ninety-three million, three hundred ninety-one thousand, six hundred fifty-four".