948297742875 has 128 divisors (see below), whose sum is σ = 2007305963520. Its totient is φ = 432742176000.

The previous prime is 948297742871. The next prime is 948297742921. The reversal of 948297742875 is 578247792849.

948297742875 is a `hidden beast` number, since 9 + 48 + 2 + 97 + 7 + 428 + 75 = 666.

It is not a de Polignac number, because 948297742875 - 2² = 948297742871 is a prime.

It is a super-2 number, since 2×948297742875² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (948297742871) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 13454727 + ... + 13525023.

It is an arithmetic number, because the mean of its divisors is an integer number (15682077840).

Almost surely, 2^948297742875 is an apocalyptic number.

948297742875 is an abundant number, since it is smaller than the sum of its proper divisors (1059008220645).

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

948297742875 is a wasteful number, since it uses less digits than its factorization.

948297742875 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 70899 (or 70883 counting only the distinct ones).

The product of its digits is 568995840, while the sum is 72.

The spelling of 948297742875 in words is "nine hundred forty-eight billion, two hundred ninety-seven million, seven hundred forty-two thousand, eight hundred seventy-five".