249537735942 has 32 divisors (see below), whose sum is σ = 545399547264. Its totient is φ = 75485054400.

The previous prime is 249537735919. The next prime is 249537735947.

It is a happy number.

249537735942 is nontrivially palindromic in base 10.

249537735942 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 not an unprimeable number, because it can be changed into a prime (249537735947) by changing a digit.

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 15 ways as a sum of consecutive naturals, for example, 3273063 + ... + 3348434.

It is an arithmetic number, because the mean of its divisors is an integer number (17043735852).

Almost surely, 2^249537735942 is an apocalyptic number.

249537735942 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

249537735942 is an abundant number, since it is smaller than the sum of its proper divisors (295861811322).

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

249537735942 is a wasteful number, since it uses less digits than its factorization.

249537735942 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6622084.

The product of its digits is 57153600, while the sum is 60.

The spelling of 249537735942 in words is "two hundred forty-nine billion, five hundred thirty-seven million, seven hundred thirty-five thousand, nine hundred forty-two".