249034609152 has 240 divisors, whose sum is σ = 869726512512. Its totient is φ = 66967142400.

The previous prime is 249034609141. The next prime is 249034609157. The reversal of 249034609152 is 251906430942.

249034609152 is a `hidden beast` number, since 2 + 4 + 9 + 0 + 34 + 609 + 1 + 5 + 2 = 666.

249034609152 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 249034609098 and 249034609107.

It is not an unprimeable number, because it can be changed into a prime (249034609157) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 321277 + ... + 775427.

Almost surely, 2^249034609152 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 249034609152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (434863256256).

249034609152 is an abundant number, since it is smaller than the sum of its proper divisors (620691903360).

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

249034609152 is a wasteful number, since it uses less digits than its factorization.

249034609152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 454199 (or 454180 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 45.

The spelling of 249034609152 in words is "two hundred forty-nine billion, thirty-four million, six hundred nine thousand, one hundred fifty-two".