66048400446864 has 80 divisors (see below), whose sum is σ = 186141917375040. Its totient is φ = 20014073671680.

The previous prime is 66048400446857. The next prime is 66048400446883. The reversal of 66048400446864 is 46864400484066.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a junction number, because it is equal to n+sod(n) for n = 66048400446798 and 66048400446807.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16145592 + ... + 19818600.

It is an arithmetic number, because the mean of its divisors is an integer number (2326773967188).

Almost surely, 2^{66048400446864} is an apocalyptic number.

It is an amenable number.

66048400446864 is an abundant number, since it is smaller than the sum of its proper divisors (120093516928176).

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

66048400446864 is a wasteful number, since it uses less digits than its factorization.

66048400446864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3707088 (or 3707082 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 60.

The spelling of 66048400446864 in words is "sixty-six trillion, forty-eight billion, four hundred million, four hundred forty-six thousand, eight hundred sixty-four".