249301053159912 has 1920 divisors, whose sum is σ = 889521347151360. Its totient is φ = 64478980177920.

The previous prime is 249301053159911. The next prime is 249301053159919. The reversal of 249301053159912 is 219951350103942.

It is a happy number.

249301053159912 is a `hidden beast` number, since 2 + 4 + 9 + 3 + 0 + 1 + 0 + 5 + 31 + 599 + 12 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (249301053159911) by changing a digit.

It is a polite number, since it can be written in 479 ways as a sum of consecutive naturals, for example, 84422976228 + ... + 84422979180.

It is an arithmetic number, because the mean of its divisors is an integer number (463292368308).

Almost surely, 2^{249301053159912} 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 249301053159912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (444760673575680).

249301053159912 is an abundant number, since it is smaller than the sum of its proper divisors (640220293991448).

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

249301053159912 is a wasteful number, since it uses less digits than its factorization.

249301053159912 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3133 (or 3101 counting only the distinct ones).

The product of its (nonzero) digits is 2624400, while the sum is 54.

The spelling of 249301053159912 in words is "two hundred forty-nine trillion, three hundred one billion, fifty-three million, one hundred fifty-nine thousand, nine hundred twelve".