249963287424 has 128 divisors (see below), whose sum is σ = 701815488000. Its totient is φ = 78607687680.

The previous prime is 249963287411. The next prime is 249963287461. The reversal of 249963287424 is 424782369942.

It is a tau number, because it is divible by the number of its divisors (128).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1687257 + ... + 1829415.

It is an arithmetic number, because the mean of its divisors is an integer number (5482933500).

Almost surely, 2^249963287424 is an apocalyptic number.

249963287424 is a gapful number since it is divisible by the number (24) 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 249963287424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (350907744000).

249963287424 is an abundant number, since it is smaller than the sum of its proper divisors (451852200576).

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

249963287424 is a wasteful number, since it uses less digits than its factorization.

249963287424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142436 (or 142424 counting only the distinct ones).

The product of its digits is 41803776, while the sum is 60.

The spelling of 249963287424 in words is "two hundred forty-nine billion, nine hundred sixty-three million, two hundred eighty-seven thousand, four hundred twenty-four".