1250014961664 has 448 divisors, whose sum is σ = 4265598458880. Its totient is φ = 354363310080.

The previous prime is 1250014961653. The next prime is 1250014961683. The reversal of 1250014961664 is 4661694100521.

1250014961664 is a `hidden beast` number, since 1 + 25 + 0 + 0 + 1 + 4 + 9 + 616 + 6 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (448).

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, 202822647 + ... + 202828809.

Almost surely, 2^{1250014961664} is an apocalyptic number.

1250014961664 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1250014961664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2132799229440).

1250014961664 is an abundant number, since it is smaller than the sum of its proper divisors (3015583497216).

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

1250014961664 is an equidigital number, since it uses as much as digits as its factorization.

1250014961664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6336 (or 6306 counting only the distinct ones).

The product of its (nonzero) digits is 311040, while the sum is 45.

The spelling of 1250014961664 in words is "one trillion, two hundred fifty billion, fourteen million, nine hundred sixty-one thousand, six hundred sixty-four".