1456016000064 has 56 divisors (see below), whose sum is σ = 4055132291040. Its totient is φ = 459794525184.

The previous prime is 1456016000039. The next prime is 1456016000071. The reversal of 1456016000064 is 4600006106541.

It is a happy number.

It is a junction number, because it is equal to n+sod(n) for n = 1456015999989 and 1456016000034.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 199559949 + ... + 199567244.

Almost surely, 2^{1456016000064} is an apocalyptic number.

It is an amenable number.

1456016000064 is an abundant number, since it is smaller than the sum of its proper divisors (2599116290976).

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

1456016000064 is a wasteful number, since it uses less digits than its factorization.

1456016000064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 399127227 (or 399127217 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 33.

The spelling of 1456016000064 in words is "one trillion, four hundred fifty-six billion, sixteen million, sixty-four", and thus it is an aban number.