249009016588992 has 504 divisors, whose sum is σ = 798424247614656. Its totient is φ = 73584999936000.

The previous prime is 249009016588979. The next prime is 249009016588993. The reversal of 249009016588992 is 299885610900942.

249009016588992 is a `hidden beast` number, since 2 + 490 + 0 + 9 + 0 + 1 + 6 + 58 + 89 + 9 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 249009016588992.

It is not an unprimeable number, because it can be changed into a prime (249009016588993) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 38034060663 + ... + 38034067209.

Almost surely, 2^{249009016588992} is an apocalyptic number.

249009016588992 is a gapful number since it is divisible by the number (22) 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 249009016588992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (399212123807328).

249009016588992 is an abundant number, since it is smaller than the sum of its proper divisors (549415231025664).

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

249009016588992 is a wasteful number, since it uses less digits than its factorization.

249009016588992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10229 (or 10175 counting only the distinct ones).

The product of its (nonzero) digits is 201553920, while the sum is 72.

The spelling of 249009016588992 in words is "two hundred forty-nine trillion, nine billion, sixteen million, five hundred eighty-eight thousand, nine hundred ninety-two".