249230135665104 has 80 divisors (see below), whose sum is σ = 702441440245440. Its totient is φ = 75517229409280.

The previous prime is 249230135664907. The next prime is 249230135665109. The reversal of 249230135665104 is 401566531032942.

It is a happy number.

It is a super-2 number, since 2×249230135665104² (a number of 30 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (249230135665109) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 16384437 + ... + 27693140.

It is an arithmetic number, because the mean of its divisors is an integer number (8780518003068).

Almost surely, 2^{249230135665104} is an apocalyptic number.

249230135665104 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

249230135665104 is an abundant number, since it is smaller than the sum of its proper divisors (453211304580336).

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

249230135665104 is a wasteful number, since it uses less digits than its factorization.

249230135665104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 44088308 (or 44088302 counting only the distinct ones).

The product of its (nonzero) digits is 4665600, while the sum is 51.

The spelling of 249230135665104 in words is "two hundred forty-nine trillion, two hundred thirty billion, one hundred thirty-five million, six hundred sixty-five thousand, one hundred four".