249195223368 has 384 divisors, whose sum is σ = 875745561600. Its totient is φ = 62164827648.

The previous prime is 249195223301. The next prime is 249195223421. The reversal of 249195223368 is 863322591942.

249195223368 is a `hidden beast` number, since 2 + 49 + 19 + 5 + 223 + 368 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 109921771 + ... + 109924037.

It is an arithmetic number, because the mean of its divisors is an integer number (2280587400).

Almost surely, 2^249195223368 is an apocalyptic number.

249195223368 is a gapful number since it is divisible by the number (28) 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 249195223368, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (437872780800).

249195223368 is an abundant number, since it is smaller than the sum of its proper divisors (626550338232).

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

249195223368 is a wasteful number, since it uses less digits than its factorization.

249195223368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3201 (or 3194 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The spelling of 249195223368 in words is "two hundred forty-nine billion, one hundred ninety-five million, two hundred twenty-three thousand, three hundred sixty-eight".