249034206896640 has 3200 divisors, whose sum is σ = 1054940122368000. Its totient is φ = 55475282903040.

The previous prime is 249034206896603. The next prime is 249034206896641. The reversal of 249034206896640 is 46698602430942.

249034206896640 is a `hidden beast` number, since 2 + 4 + 9 + 0 + 3 + 420 + 68 + 96 + 64 + 0 = 666.

It is a super-3 number, since 3×249034206896640³ (a number of 44 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (249034206896641) by changing a digit.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 455272772847 + ... + 455272773393.

It is an arithmetic number, because the mean of its divisors is an integer number (329668788240).

Almost surely, 2^{249034206896640} is an apocalyptic number.

249034206896640 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 249034206896640, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (527470061184000).

249034206896640 is an abundant number, since it is smaller than the sum of its proper divisors (805905915471360).

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

249034206896640 is a wasteful number, since it uses less digits than its factorization.

249034206896640 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 868 (or 843 counting only the distinct ones).

The product of its (nonzero) digits is 107495424, while the sum is 63.

The spelling of 249034206896640 in words is "two hundred forty-nine trillion, thirty-four billion, two hundred six million, eight hundred ninety-six thousand, six hundred forty".