249945696000 has 3456 divisors, whose sum is σ = 1315658373120. Its totient is φ = 45121536000.

The previous prime is 249945695963. The next prime is 249945696089. The reversal of 249945696000 is 696549942.

It is a happy number.

249945696000 is a `hidden beast` number, since 24 + 9 + 9 + 4 + 5 + 6 + 9 + 600 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (3456).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 14702687992 + ... + 14702688008.

Almost surely, 2^249945696000 is an apocalyptic number.

249945696000 is a gapful number since it is divisible by the number (20) 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 249945696000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (657829186560).

249945696000 is an abundant number, since it is smaller than the sum of its proper divisors (1065712677120).

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

249945696000 is a wasteful number, since it uses less digits than its factorization.

249945696000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 105 (or 58 counting only the distinct ones).

The product of its (nonzero) digits is 4199040, while the sum is 54.

The spelling of 249945696000 in words is "two hundred forty-nine billion, nine hundred forty-five million, six hundred ninety-six thousand".