249070288896 has 408 divisors, whose sum is σ = 845609275056. Its totient is φ = 69646417920.

The previous prime is 249070288867. The next prime is 249070288949. The reversal of 249070288896 is 698882070942.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 84343356 + ... + 84346308.

Almost surely, 2^249070288896 is an apocalyptic number.

249070288896 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 249070288896, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422804637528).

249070288896 is an abundant number, since it is smaller than the sum of its proper divisors (596538986160).

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

249070288896 is a wasteful number, since it uses less digits than its factorization.

249070288896 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3015 (or 2982 counting only the distinct ones).

The product of its (nonzero) digits is 27869184, while the sum is 63.

The spelling of 249070288896 in words is "two hundred forty-nine billion, seventy million, two hundred eighty-eight thousand, eight hundred ninety-six".