249982129152 has 704 divisors, whose sum is σ = 894208204800. Its totient is φ = 67443425280.

The previous prime is 249982129147. The next prime is 249982129153. The reversal of 249982129152 is 251921289942.

249982129152 is a `hidden beast` number, since 2 + 499 + 8 + 2 + 12 + 91 + 52 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249982129153) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 396167877 + ... + 396168507.

Almost surely, 2^249982129152 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 249982129152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (447104102400).

249982129152 is an abundant number, since it is smaller than the sum of its proper divisors (644226075648).

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

249982129152 is a wasteful number, since it uses less digits than its factorization.

249982129152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 779 (or 755 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 54.

The spelling of 249982129152 in words is "two hundred forty-nine billion, nine hundred eighty-two million, one hundred twenty-nine thousand, one hundred fifty-two".