249332979168 has 1440 divisors, whose sum is σ = 974229645312. Its totient is φ = 61138022400.

The previous prime is 249332979143. The next prime is 249332979187. The reversal of 249332979168 is 861979233942.

249332979168 is a `hidden beast` number, since 249 + 3 + 329 + 7 + 9 + 1 + 68 = 666.

249332979168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 239 ways as a sum of consecutive naturals, for example, 4087425858 + ... + 4087425918.

Almost surely, 2^249332979168 is an apocalyptic number.

249332979168 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 249332979168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487114822656).

249332979168 is an abundant number, since it is smaller than the sum of its proper divisors (724896666144).

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

249332979168 is a wasteful number, since it uses less digits than its factorization.

249332979168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 190 (or 160 counting only the distinct ones).

The product of its digits is 35271936, while the sum is 63.

The spelling of 249332979168 in words is "two hundred forty-nine billion, three hundred thirty-two million, nine hundred seventy-nine thousand, one hundred sixty-eight".