456654456654 has 192 divisors, whose sum is σ = 1102585006656. Its totient is φ = 125452800000.

The previous prime is 456654456649. The next prime is 456654456683.

456654456654 is nontrivially palindromic in base 10.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 46117104 + ... + 46127004.

It is an arithmetic number, because the mean of its divisors is an integer number (5742630243).

Almost surely, 2^456654456654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456654456654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (551292503328).

456654456654 is an abundant number, since it is smaller than the sum of its proper divisors (645930550002).

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

456654456654 is a wasteful number, since it uses less digits than its factorization.

456654456654 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10083 (or 10072 counting only the distinct ones).

The product of its digits is 207360000, while the sum is 60.

The spelling of 456654456654 in words is "four hundred fifty-six billion, six hundred fifty-four million, four hundred fifty-six thousand, six hundred fifty-four".