456234432654 has 256 divisors, whose sum is σ = 1260217534464. Its totient is φ = 106263705600.

The previous prime is 456234432611. The next prime is 456234432727.

456234432654 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×456234432654² (a number of 24 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 194887524 + ... + 194889864.

It is an arithmetic number, because the mean of its divisors is an integer number (4922724744).

Almost surely, 2^456234432654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456234432654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (630108767232).

456234432654 is an abundant number, since it is smaller than the sum of its proper divisors (803983101810).

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

456234432654 is a wasteful number, since it uses less digits than its factorization.

456234432654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3291.

The product of its digits is 8294400, while the sum is 48.

It can be divided in two parts, 456234 and 432654, that added together give a palindrome (888888).

The spelling of 456234432654 in words is "four hundred fifty-six billion, two hundred thirty-four million, four hundred thirty-two thousand, six hundred fifty-four".