948716271360 has 1440 divisors, whose sum is σ = 4057399684800. Its totient is φ = 208620748800.

The previous prime is 948716271311. The next prime is 948716271367. The reversal of 948716271360 is 63172617849.

948716271360 is a `hidden beast` number, since 9 + 4 + 8 + 7 + 1 + 6 + 271 + 360 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 948716271297 and 948716271306.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (948716271367) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 904400116 + ... + 904401164.

It is an arithmetic number, because the mean of its divisors is an integer number (2817638670).

Almost surely, 2^948716271360 is an apocalyptic number.

948716271360 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 948716271360, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2028699842400).

948716271360 is an abundant number, since it is smaller than the sum of its proper divisors (3108683413440).

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

948716271360 is a wasteful number, since it uses less digits than its factorization.

948716271360 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1167 (or 1144 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 948716271360 in words is "nine hundred forty-eight billion, seven hundred sixteen million, two hundred seventy-one thousand, three hundred sixty".