249233541904 has 40 divisors (see below), whose sum is σ = 487430460440. Its totient is φ = 123445555200.

The previous prime is 249233541889. The next prime is 249233541917. The reversal of 249233541904 is 409145332942.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 1277347600 + 247956194304 = 35740^2 + 497952^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 9196534 + ... + 9223594.

It is an arithmetic number, because the mean of its divisors is an integer number (12185761511).

Almost surely, 2^249233541904 is an apocalyptic number.

It is an amenable number.

249233541904 is a deficient number, since it is larger than the sum of its proper divisors (238196918536).

249233541904 is a wasteful number, since it uses less digits than its factorization.

249233541904 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 32459 (or 32453 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 46.

The spelling of 249233541904 in words is "two hundred forty-nine billion, two hundred thirty-three million, five hundred forty-one thousand, nine hundred four".