249975579942 has 48 divisors (see below), whose sum is σ = 596701432080. Its totient is φ = 75000168000.

The previous prime is 249975579937. The next prime is 249975579991.

249975579942 is a `hidden beast` number, since 2 + 4 + 9 + 9 + 7 + 5 + 579 + 9 + 42 = 666.

249975579942 is nontrivially palindromic in base 10.

249975579942 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 6230017 + ... + 6270012.

It is an arithmetic number, because the mean of its divisors is an integer number (12431279835).

Almost surely, 2^249975579942 is an apocalyptic number.

249975579942 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

249975579942 is an abundant number, since it is smaller than the sum of its proper divisors (346725852138).

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

249975579942 is a wasteful number, since it uses less digits than its factorization.

249975579942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 12500149 (or 12500146 counting only the distinct ones).

The product of its digits is 514382400, while the sum is 72.

The spelling of 249975579942 in words is "two hundred forty-nine billion, nine hundred seventy-five million, five hundred seventy-nine thousand, nine hundred forty-two".