249847234560 has 1440 divisors, whose sum is σ = 1126689887232. Its totient is φ = 51597803520.

The previous prime is 249847234537. The next prime is 249847234579. The reversal of 249847234560 is 65432748942.

It is a happy number.

249847234560 is a `hidden beast` number, since 2 + 4 + 9 + 8 + 4 + 72 + 3 + 4 + 560 = 666.

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 249847234497 and 249847234506.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1532805039 + ... + 1532805201.

Almost surely, 2^249847234560 is an apocalyptic number.

249847234560 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 249847234560, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (563344943616).

249847234560 is an abundant number, since it is smaller than the sum of its proper divisors (876842652672).

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

249847234560 is an equidigital number, since it uses as much as digits as its factorization.

249847234560 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 229 (or 191 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 54.

The spelling of 249847234560 in words is "two hundred forty-nine billion, eight hundred forty-seven million, two hundred thirty-four thousand, five hundred sixty".