456540060456 has 128 divisors (see below), whose sum is σ = 1276193318400. Its totient is φ = 151218213120.

The previous prime is 456540060443. The next prime is 456540060469. The reversal of 456540060456 is 654060045654.

456540060456 is a `hidden beast` number, since 4 + 5 + 6 + 540 + 0 + 60 + 45 + 6 = 666.

It is an interprime number because it is at equal distance from previous prime (456540060443) and next prime (456540060469).

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, 58131826 + ... + 58139678.

It is an arithmetic number, because the mean of its divisors is an integer number (9970260300).

Almost surely, 2^456540060456 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 456540060456, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (638096659200).

456540060456 is an abundant number, since it is smaller than the sum of its proper divisors (819653257944).

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

456540060456 is a wasteful number, since it uses less digits than its factorization.

456540060456 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9536 (or 9526 counting only the distinct ones).

The product of its (nonzero) digits is 1728000, while the sum is 45.

The spelling of 456540060456 in words is "four hundred fifty-six billion, five hundred forty million, sixty thousand, four hundred fifty-six".