249206434812 has 576 divisors, whose sum is σ = 743921418240. Its totient is φ = 72601401600.

The previous prime is 249206434801. The next prime is 249206434817. The reversal of 249206434812 is 218434602942.

249206434812 is a `hidden beast` number, since 2 + 4 + 9 + 206 + 434 + 8 + 1 + 2 = 666.

249206434812 is digitally balanced in base 3 and base 7, because in such bases it contains all the possibile digits an equal number of times.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249206434817) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1304745637 + ... + 1304745827.

It is an arithmetic number, because the mean of its divisors is an integer number (1291530240).

Almost surely, 2^249206434812 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 249206434812, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (371960709120).

249206434812 is an abundant number, since it is smaller than the sum of its proper divisors (494714983428).

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

249206434812 is a wasteful number, since it uses less digits than its factorization.

249206434812 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 356 (or 342 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 45.

The spelling of 249206434812 in words is "two hundred forty-nine billion, two hundred six million, four hundred thirty-four thousand, eight hundred twelve".