249788222352 has 240 divisors, whose sum is σ = 730111269888. Its totient is φ = 79633244160.

The previous prime is 249788222329. The next prime is 249788222353. The reversal of 249788222352 is 253222887942.

249788222352 is a `hidden beast` number, since 2 + 497 + 8 + 82 + 2 + 23 + 52 = 666.

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (249788222353) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 160841608 + ... + 160843160.

Almost surely, 2^249788222352 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 249788222352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (365055634944).

249788222352 is an abundant number, since it is smaller than the sum of its proper divisors (480323047536).

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

249788222352 is a wasteful number, since it uses less digits than its factorization.

249788222352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1998 (or 1989 counting only the distinct ones).

The product of its digits is 7741440, while the sum is 54.

The spelling of 249788222352 in words is "two hundred forty-nine billion, seven hundred eighty-eight million, two hundred twenty-two thousand, three hundred fifty-two".