948789616320 has 448 divisors, whose sum is σ = 4119534397440. Its totient is φ = 200184016896.

The previous prime is 948789616231. The next prime is 948789616321. The reversal of 948789616320 is 23616987849.

948789616320 is a `hidden beast` number, since 9 + 4 + 8 + 7 + 8 + 9 + 616 + 3 + 2 + 0 = 666.

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 (63).

It is not an unprimeable number, because it can be changed into a prime (948789616321) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 182869 + ... + 1389611.

It is an arithmetic number, because the mean of its divisors is an integer number (9195389280).

Almost surely, 2^948789616320 is an apocalyptic number.

948789616320 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 948789616320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2059767198720).

948789616320 is an abundant number, since it is smaller than the sum of its proper divisors (3170744781120).

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

948789616320 is a wasteful number, since it uses less digits than its factorization.

948789616320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1206789 (or 1206773 counting only the distinct ones).

The product of its (nonzero) digits is 31352832, while the sum is 63.

The spelling of 948789616320 in words is "nine hundred forty-eight billion, seven hundred eighty-nine million, six hundred sixteen thousand, three hundred twenty".