249364001656320 has 640 divisors, whose sum is σ = 810857384663040. Its totient is φ = 65364893368320.

The previous prime is 249364001656313. The next prime is 249364001656453. The reversal of 249364001656320 is 23656100463942.

It is a tau number, because it is divible by the number of its divisors (640).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 181619811154 + ... + 181619812526.

It is an arithmetic number, because the mean of its divisors is an integer number (1266964663536).

Almost surely, 2^{249364001656320} is an apocalyptic number.

249364001656320 is a gapful number since it is divisible by the number (20) 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 249364001656320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (405428692331520).

249364001656320 is an abundant number, since it is smaller than the sum of its proper divisors (561493383006720).

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

249364001656320 is a wasteful number, since it uses less digits than its factorization.

249364001656320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2586 (or 2570 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 51.

The spelling of 249364001656320 in words is "two hundred forty-nine trillion, three hundred sixty-four billion, one million, six hundred fifty-six thousand, three hundred twenty".