249436637216 has 144 divisors (see below), whose sum is σ = 575242516800. Its totient is φ = 105543959040.

The previous prime is 249436637207. The next prime is 249436637243. The reversal of 249436637216 is 612736634942.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7579325 + ... + 7612163.

It is an arithmetic number, because the mean of its divisors is an integer number (3994739700).

Almost surely, 2^249436637216 is an apocalyptic number.

249436637216 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249436637216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (287621258400).

249436637216 is an abundant number, since it is smaller than the sum of its proper divisors (325805879584).

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

249436637216 is a wasteful number, since it uses less digits than its factorization.

249436637216 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 32943 (or 32904 counting only the distinct ones).

The product of its digits is 7838208, while the sum is 53.

The spelling of 249436637216 in words is "two hundred forty-nine billion, four hundred thirty-six million, six hundred thirty-seven thousand, two hundred sixteen".