456261162654 has 64 divisors (see below), whose sum is σ = 1006520815872. Its totient is φ = 136730592000.

The previous prime is 456261162611. The next prime is 456261162683.

It is a happy number.

456261162654 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5672829 + ... + 5752695.

It is an arithmetic number, because the mean of its divisors is an integer number (15726887748).

Almost surely, 2^456261162654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456261162654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (503260407936).

456261162654 is an abundant number, since it is smaller than the sum of its proper divisors (550259653218).

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

456261162654 is a wasteful number, since it uses less digits than its factorization.

456261162654 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 80841.

The product of its digits is 2073600, while the sum is 48.

The spelling of 456261162654 in words is "four hundred fifty-six billion, two hundred sixty-one million, one hundred sixty-two thousand, six hundred fifty-four".