960450014304 has 360 divisors, whose sum is σ = 3108410585280. Its totient is φ = 290706071040.

The previous prime is 960450014291. The next prime is 960450014357. The reversal of 960450014304 is 403410054069.

960450014304 is a `hidden beast` number, since 9 + 6 + 0 + 4 + 500 + 143 + 0 + 4 = 666.

960450014304 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 448179057 + ... + 448181199.

It is an arithmetic number, because the mean of its divisors is an integer number (8634473848).

Almost surely, 2^960450014304 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 960450014304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1554205292640).

960450014304 is an abundant number, since it is smaller than the sum of its proper divisors (2147960570976).

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

960450014304 is a wasteful number, since it uses less digits than its factorization.

960450014304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3616 (or 3588 counting only the distinct ones).

The product of its (nonzero) digits is 51840, while the sum is 36.

The spelling of 960450014304 in words is "nine hundred sixty billion, four hundred fifty million, fourteen thousand, three hundred four".