948549675096 has 160 divisors (see below), whose sum is σ = 2744874506880. Its totient is φ = 305721216000.

The previous prime is 948549675077. The next prime is 948549675163. The reversal of 948549675096 is 690576945849.

948549675096 is a `hidden beast` number, since 9 + 4 + 8 + 54 + 9 + 67 + 509 + 6 = 666.

It is a super-2 number, since 2×948549675096² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 24106030 + ... + 24145346.

It is an arithmetic number, because the mean of its divisors is an integer number (17155465668).

Almost surely, 2^948549675096 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 948549675096, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1372437253440).

948549675096 is an abundant number, since it is smaller than the sum of its proper divisors (1796324831784).

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

948549675096 is a wasteful number, since it uses less digits than its factorization.

948549675096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40567 (or 40554 counting only the distinct ones).

The product of its (nonzero) digits is 587865600, while the sum is 72.

The spelling of 948549675096 in words is "nine hundred forty-eight billion, five hundred forty-nine million, six hundred seventy-five thousand, ninety-six".