456542461650 has 384 divisors, whose sum is σ = 1319780385792. Its totient is φ = 103420800000.

The previous prime is 456542461643. The next prime is 456542461667. The reversal of 456542461650 is 56164245654.

It is a happy number.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 456542461650.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 160132725 + ... + 160135575.

It is an arithmetic number, because the mean of its divisors is an integer number (3436928088).

Almost surely, 2^456542461650 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456542461650, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (659890192896).

456542461650 is an abundant number, since it is smaller than the sum of its proper divisors (863237924142).

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

456542461650 is a wasteful number, since it uses less digits than its factorization.

456542461650 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3018 (or 3013 counting only the distinct ones).

The product of its (nonzero) digits is 3456000, while the sum is 48.

The spelling of 456542461650 in words is "four hundred fifty-six billion, five hundred forty-two million, four hundred sixty-one thousand, six hundred fifty".