249479600128 has 192 divisors, whose sum is σ = 587462803200. Its totient is φ = 104722759680.

The previous prime is 249479600119. The next prime is 249479600131. The reversal of 249479600128 is 821006974942.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 15017875 + ... + 15034477.

It is an arithmetic number, because the mean of its divisors is an integer number (3059702100).

Almost surely, 2^249479600128 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 249479600128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (293731401600).

249479600128 is an abundant number, since it is smaller than the sum of its proper divisors (337983203072).

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

249479600128 is a wasteful number, since it uses less digits than its factorization.

249479600128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 16688 (or 16668 counting only the distinct ones).

The product of its (nonzero) digits is 1741824, while the sum is 52.

The spelling of 249479600128 in words is "two hundred forty-nine billion, four hundred seventy-nine million, six hundred thousand, one hundred twenty-eight".