948895891272 has 192 divisors, whose sum is σ = 2997648201600. Its totient is φ = 265553510400.

The previous prime is 948895891219. The next prime is 948895891291. The reversal of 948895891272 is 272198598849.

948895891272 is a `hidden beast` number, since 9 + 488 + 9 + 58 + 91 + 2 + 7 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 948895891272.

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 47 ways as a sum of consecutive naturals, for example, 8179272 + ... + 8294472.

It is an arithmetic number, because the mean of its divisors is an integer number (15612751050).

Almost surely, 2^948895891272 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 948895891272, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1498824100800).

948895891272 is an abundant number, since it is smaller than the sum of its proper divisors (2048752310328).

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

948895891272 is a wasteful number, since it uses less digits than its factorization.

948895891272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 115556 (or 115549 counting only the distinct ones).

The product of its digits is 209018880, while the sum is 72.

The spelling of 948895891272 in words is "nine hundred forty-eight billion, eight hundred ninety-five million, eight hundred ninety-one thousand, two hundred seventy-two".