249323762016 has 1344 divisors, whose sum is σ = 975704486400. Its totient is φ = 60949905408.

The previous prime is 249323761991. The next prime is 249323762021. The reversal of 249323762016 is 610267323942.

249323762016 is a `hidden beast` number, since 2 + 4 + 9 + 3 + 2 + 3 + 7 + 620 + 16 = 666.

249323762016 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×249323762016² (a number of 24 digits) contains 22 as substring.

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 223 ways as a sum of consecutive naturals, for example, 1529593551 + ... + 1529593713.

It is an arithmetic number, because the mean of its divisors is an integer number (725970600).

Almost surely, 2^249323762016 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249323762016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (487852243200).

249323762016 is an abundant number, since it is smaller than the sum of its proper divisors (726380724384).

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

249323762016 is a wasteful number, since it uses less digits than its factorization.

249323762016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 263 (or 240 counting only the distinct ones).

The product of its (nonzero) digits is 653184, while the sum is 45.

The spelling of 249323762016 in words is "two hundred forty-nine billion, three hundred twenty-three million, seven hundred sixty-two thousand, sixteen".