456840048654 has 512 divisors, whose sum is σ = 1225027584000. Its totient is φ = 124823462400.

The previous prime is 456840048601. The next prime is 456840048659.

456840048654 is nontrivially palindromic in base 10.

456840048654 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 456840048654.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (456840048659) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 2165118609 + ... + 2165118819.

It is an arithmetic number, because the mean of its divisors is an integer number (2392632000).

Almost surely, 2^456840048654 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456840048654, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (612513792000).

456840048654 is an abundant number, since it is smaller than the sum of its proper divisors (768187535346).

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

456840048654 is a wasteful number, since it uses less digits than its factorization.

456840048654 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 421 (or 415 counting only the distinct ones).

The product of its (nonzero) digits is 14745600, while the sum is 54.

The spelling of 456840048654 in words is "four hundred fifty-six billion, eight hundred forty million, forty-eight thousand, six hundred fifty-four".