948717040320 has 448 divisors, whose sum is σ = 3877401277440. Its totient is φ = 213878071296.

The previous prime is 948717040303. The next prime is 948717040331. The reversal of 948717040320 is 23040717849.

948717040320 is a `hidden beast` number, since 94 + 8 + 71 + 70 + 403 + 20 = 666.

948717040320 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 4307599 + ... + 4522481.

Almost surely, 2^948717040320 is an apocalyptic number.

948717040320 is a gapful number since it is divisible by the number (90) 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 948717040320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1938700638720).

948717040320 is an abundant number, since it is smaller than the sum of its proper divisors (2928684237120).

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

948717040320 is a wasteful number, since it uses less digits than its factorization.

948717040320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 214989 (or 214973 counting only the distinct ones).

The product of its (nonzero) digits is 338688, while the sum is 45.

The spelling of 948717040320 in words is "nine hundred forty-eight billion, seven hundred seventeen million, forty thousand, three hundred twenty".