249749901983232 has 3840 divisors, whose sum is σ = 992274776064000. Its totient is φ = 59976713502720.

The previous prime is 249749901983227. The next prime is 249749901983261. The reversal of 249749901983232 is 232389109947942.

249749901983232 is a `hidden beast` number, since 2 + 4 + 97 + 49 + 90 + 1 + 98 + 323 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 680517443913 + ... + 680517444279.

It is an arithmetic number, because the mean of its divisors is an integer number (258404889600).

Almost surely, 2^{249749901983232} 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 249749901983232, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (496137388032000).

249749901983232 is an abundant number, since it is smaller than the sum of its proper divisors (742524874080768).

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

249749901983232 is a wasteful number, since it uses less digits than its factorization.

249749901983232 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 522 (or 489 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 249749901983232 in words is "two hundred forty-nine trillion, seven hundred forty-nine billion, nine hundred one million, nine hundred eighty-three thousand, two hundred thirty-two".