249133646331942 has 64 divisors (see below), whose sum is σ = 505955409177600. Its totient is φ = 81769066778880.

The previous prime is 249133646331923. The next prime is 249133646331949.

249133646331942 is nontrivially palindromic in base 10.

249133646331942 is digitally balanced in base 2 and base 4, because in such bases 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 (249133646331949) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 671948092 + ... + 672318752.

It is an arithmetic number, because the mean of its divisors is an integer number (7905553268400).

Almost surely, 2^{249133646331942} is an apocalyptic number.

249133646331942 is an abundant number, since it is smaller than the sum of its proper divisors (256821762845658).

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

249133646331942 is a wasteful number, since it uses less digits than its factorization.

249133646331942 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 374621.

The product of its digits is 60466176, while the sum is 60.

The spelling of 249133646331942 in words is "two hundred forty-nine trillion, one hundred thirty-three billion, six hundred forty-six million, three hundred thirty-one thousand, nine hundred forty-two".