249205217428288 has 224 divisors, whose sum is σ = 556463209623552. Its totient is φ = 109761418291200.

The previous prime is 249205217428253. The next prime is 249205217428291. The reversal of 249205217428288 is 882824712502942.

It is a super-2 number, since 2×249205217428288² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (64).

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, 10352911293 + ... + 10352935363.

It is an arithmetic number, because the mean of its divisors is an integer number (2484210757248).

Almost surely, 2^{249205217428288} 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 249205217428288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (278231604811776).

249205217428288 is an abundant number, since it is smaller than the sum of its proper divisors (307257992195264).

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

249205217428288 is a wasteful number, since it uses less digits than its factorization.

249205217428288 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27573 (or 27563 counting only the distinct ones).

The product of its (nonzero) digits is 82575360, while the sum is 64.

The spelling of 249205217428288 in words is "two hundred forty-nine trillion, two hundred five billion, two hundred seventeen million, four hundred twenty-eight thousand, two hundred eighty-eight".