249011385168 has 640 divisors, whose sum is σ = 844745932800. Its totient is φ = 61457356800.

The previous prime is 249011385157. The next prime is 249011385187. The reversal of 249011385168 is 861583110942.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 567223893 + ... + 567224331.

It is an arithmetic number, because the mean of its divisors is an integer number (1319915520).

Almost surely, 2^249011385168 is an apocalyptic number.

249011385168 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 249011385168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (422372966400).

249011385168 is an abundant number, since it is smaller than the sum of its proper divisors (595734547632).

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

249011385168 is a wasteful number, since it uses less digits than its factorization.

249011385168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 631 (or 625 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 48.

The spelling of 249011385168 in words is "two hundred forty-nine billion, eleven million, three hundred eighty-five thousand, one hundred sixty-eight".