948679852032 has 960 divisors, whose sum is σ = 3341919436800. Its totient is φ = 262766592000.

The previous prime is 948679852031. The next prime is 948679852039. The reversal of 948679852032 is 230258976849.

948679852032 is a `hidden beast` number, since 9 + 4 + 8 + 6 + 79 + 8 + 520 + 32 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (948679852031) 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, 2866102107 + ... + 2866102437.

It is an arithmetic number, because the mean of its divisors is an integer number (3481166080).

Almost surely, 2^948679852032 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 948679852032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1670959718400).

948679852032 is an abundant number, since it is smaller than the sum of its proper divisors (2393239584768).

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

948679852032 is a wasteful number, since it uses less digits than its factorization.

948679852032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 429 (or 397 counting only the distinct ones).

The product of its (nonzero) digits is 52254720, while the sum is 63.

The spelling of 948679852032 in words is "nine hundred forty-eight billion, six hundred seventy-nine million, eight hundred fifty-two thousand, thirty-two".