948439853760 has 896 divisors, whose sum is σ = 3749127782400. Its totient is φ = 198309150720.

The previous prime is 948439853759. The next prime is 948439853807. The reversal of 948439853760 is 67358934849.

It is a super-2 number, since 2×948439853760² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 948439853691 and 948439853700.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 539191761 + ... + 539193519.

It is an arithmetic number, because the mean of its divisors is an integer number (4184294400).

Almost surely, 2^948439853760 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 948439853760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1874563891200).

948439853760 is an abundant number, since it is smaller than the sum of its proper divisors (2800687928640).

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

948439853760 is a wasteful number, since it uses less digits than its factorization.

948439853760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1949 (or 1939 counting only the distinct ones).

The product of its (nonzero) digits is 156764160, while the sum is 66.

The spelling of 948439853760 in words is "nine hundred forty-eight billion, four hundred thirty-nine million, eight hundred fifty-three thousand, seven hundred sixty".