249404358553168 has 160 divisors (see below), whose sum is σ = 606891992537600. Its totient is φ = 98662029419520.

The previous prime is 249404358553139. The next prime is 249404358553177. The reversal of 249404358553168 is 861355853404942.

It is a happy number.

249404358553168 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3330371821 + ... + 3330446707.

It is an arithmetic number, because the mean of its divisors is an integer number (3793074953360).

Almost surely, 2^{249404358553168} is an apocalyptic number.

249404358553168 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 249404358553168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303445996268800).

249404358553168 is an abundant number, since it is smaller than the sum of its proper divisors (357487633984432).

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

249404358553168 is a wasteful number, since it uses less digits than its factorization.

249404358553168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 121610 (or 121590 counting only the distinct ones).

The product of its (nonzero) digits is 497664000, while the sum is 67.

The spelling of 249404358553168 in words is "two hundred forty-nine trillion, four hundred four billion, three hundred fifty-eight million, five hundred fifty-three thousand, one hundred sixty-eight".