249084847872 has 576 divisors, whose sum is σ = 867270835200. Its totient is φ = 69035950080.

The previous prime is 249084847853. The next prime is 249084847873. The reversal of 249084847872 is 278748480942.

249084847872 is a `hidden beast` number, since 2 + 4 + 90 + 8 + 4 + 8 + 478 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is a super-2 number, since 2×249084847872² (a number of 24 digits) contains 22 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249084847873) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 609009204 + ... + 609009612.

Almost surely, 2^249084847872 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 249084847872, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (433635417600).

249084847872 is an abundant number, since it is smaller than the sum of its proper divisors (618185987328).

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

249084847872 is a wasteful number, since it uses less digits than its factorization.

249084847872 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 769 counting only the distinct ones).

The product of its (nonzero) digits is 57802752, while the sum is 63.

The spelling of 249084847872 in words is "two hundred forty-nine billion, eighty-four million, eight hundred forty-seven thousand, eight hundred seventy-two".