249597221922048 has 2592 divisors, whose sum is σ = 956139824553984. Its totient is φ = 57062154240000.

The previous prime is 249597221921987. The next prime is 249597221922071. The reversal of 249597221922048 is 840229122795942.

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a self number, because there is not a number n which added to its sum of digits gives 249597221922048.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 153977310678 + ... + 153977312298.

It is an arithmetic number, because the mean of its divisors is an integer number (368881105152).

Almost surely, 2^{249597221922048} is an apocalyptic number.

249597221922048 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 249597221922048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (478069912276992).

249597221922048 is an abundant number, since it is smaller than the sum of its proper divisors (706542602631936).

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

249597221922048 is a wasteful number, since it uses less digits than its factorization.

249597221922048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793 (or 1759 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 66.

The spelling of 249597221922048 in words is "two hundred forty-nine trillion, five hundred ninety-seven billion, two hundred twenty-one million, nine hundred twenty-two thousand, forty-eight".