249961238334 has 160 divisors (see below), whose sum is σ = 584170963200. Its totient is φ = 79790054400.

The previous prime is 249961238249. The next prime is 249961238357. The reversal of 249961238334 is 433832169942.

249961238334 is a `hidden beast` number, since 249 + 9 + 6 + 12 + 383 + 3 + 4 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 521839507 + ... + 521839985.

It is an arithmetic number, because the mean of its divisors is an integer number (3651068520).

Almost surely, 2^249961238334 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249961238334, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (292085481600).

249961238334 is an abundant number, since it is smaller than the sum of its proper divisors (334209724866).

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

249961238334 is a wasteful number, since it uses less digits than its factorization.

249961238334 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1200 (or 1191 counting only the distinct ones).

The product of its digits is 6718464, while the sum is 54.

The spelling of 249961238334 in words is "two hundred forty-nine billion, nine hundred sixty-one million, two hundred thirty-eight thousand, three hundred thirty-four".