249131616 has 48 divisors (see below), whose sum is σ = 663199488. Its totient is φ = 81872000.

The previous prime is 249131609. The next prime is 249131627. The reversal of 249131616 is 616131942.

249131616 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (33) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

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, 11460 + ... + 25091.

It is an arithmetic number, because the mean of its divisors is an integer number (13816656).

Almost surely, 2^249131616 is an apocalyptic number.

It is an amenable number.

249131616 is an abundant number, since it is smaller than the sum of its proper divisors (414067872).

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

249131616 is a wasteful number, since it uses less digits than its factorization.

249131616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 36635 (or 36627 counting only the distinct ones).

The product of its digits is 7776, while the sum is 33.

The square root of 249131616 is about 15783.9036996555. The cubic root of 249131616 is about 629.2302819312.

The spelling of 249131616 in words is "two hundred forty-nine million, one hundred thirty-one thousand, six hundred sixteen".