948242608320 has 224 divisors, whose sum is σ = 3643164476928. Its totient is φ = 203991662592.

The previous prime is 948242608307. The next prime is 948242608343. The reversal of 948242608320 is 23806242849.

948242608320 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 (224).

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 948242608320.

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, 4035982 + ... + 4264461.

Almost surely, 2^948242608320 is an apocalyptic number.

It is an amenable number.

948242608320 is an abundant number, since it is smaller than the sum of its proper divisors (2694921868608).

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

948242608320 is a wasteful number, since it uses less digits than its factorization.

948242608320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8300487 (or 8300477 counting only the distinct ones).

The product of its (nonzero) digits is 1327104, while the sum is 48.

The spelling of 948242608320 in words is "nine hundred forty-eight billion, two hundred forty-two million, six hundred eight thousand, three hundred twenty".