1460714321664 has 216 divisors, whose sum is σ = 4703555317552. Its totient is φ = 449450311680.

The previous prime is 1460714321639. The next prime is 1460714321767. The reversal of 1460714321664 is 4661234170641.

1460714321664 is a `hidden beast` number, since 1 + 4 + 607 + 1 + 4 + 32 + 1 + 6 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (216).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 94417 + ... + 1711824.

Almost surely, 2^{1460714321664} 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 1460714321664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351777658776).

1460714321664 is an abundant number, since it is smaller than the sum of its proper divisors (3242840995888).

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

1460714321664 is an equidigital number, since it uses as much as digits as its factorization.

1460714321664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1806285 (or 1806259 counting only the distinct ones).

The product of its (nonzero) digits is 580608, while the sum is 45.

The spelling of 1460714321664 in words is "one trillion, four hundred sixty billion, seven hundred fourteen million, three hundred twenty-one thousand, six hundred sixty-four".