249893097216 has 288 divisors, whose sum is σ = 775104422400. Its totient is φ = 69994659840.

The previous prime is 249893097203. The next prime is 249893097229. The reversal of 249893097216 is 612790398942.

It is an interprime number because it is at equal distance from previous prime (249893097203) and next prime (249893097229).

It is a self number, because there is not a number n which added to its sum of digits gives 249893097216.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 146220970 + ... + 146222678.

It is an arithmetic number, because the mean of its divisors is an integer number (2691334800).

Almost surely, 2^249893097216 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249893097216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387552211200).

249893097216 is an abundant number, since it is smaller than the sum of its proper divisors (525211325184).

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

249893097216 is a wasteful number, since it uses less digits than its factorization.

249893097216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2255 (or 2241 counting only the distinct ones).

The product of its (nonzero) digits is 11757312, while the sum is 60.

The spelling of 249893097216 in words is "two hundred forty-nine billion, eight hundred ninety-three million, ninety-seven thousand, two hundred sixteen".