249453873216 has 336 divisors, whose sum is σ = 790991405568. Its totient is φ = 74815488000.

The previous prime is 249453873157. The next prime is 249453873217. The reversal of 249453873216 is 612378354942.

249453873216 is a `hidden beast` number, since 2 + 4 + 9 + 45 + 387 + 3 + 216 = 666.

It is not an unprimeable number, because it can be changed into a prime (249453873217) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 25189866 + ... + 25199766.

It is an arithmetic number, because the mean of its divisors is an integer number (2354141088).

Almost surely, 2^249453873216 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 249453873216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (395495702784).

249453873216 is an abundant number, since it is smaller than the sum of its proper divisors (541537532352).

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

249453873216 is a wasteful number, since it uses less digits than its factorization.

249453873216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10050 (or 10037 counting only the distinct ones).

The product of its digits is 8709120, while the sum is 54.

The spelling of 249453873216 in words is "two hundred forty-nine billion, four hundred fifty-three million, eight hundred seventy-three thousand, two hundred sixteen".