11314254817008 has 1280 divisors, whose sum is σ = 41066171596800. Its totient is φ = 2931489792000.

The previous prime is 11314254817007. The next prime is 11314254817069. The reversal of 11314254817008 is 80071845241311.

11314254817008 is a `hidden beast` number, since 1 + 1 + 31 + 4 + 2 + 548 + 1 + 70 + 0 + 8 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11314254817007) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 11417007393 + ... + 11417008383.

It is an arithmetic number, because the mean of its divisors is an integer number (32082946560).

Almost surely, 2^{11314254817008} is an apocalyptic number.

11314254817008 is a gapful number since it is divisible by the number (18) 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 11314254817008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20533085798400).

11314254817008 is an abundant number, since it is smaller than the sum of its proper divisors (29751916779792).

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

11314254817008 is a wasteful number, since it uses less digits than its factorization.

11314254817008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1259 (or 1247 counting only the distinct ones).

The product of its (nonzero) digits is 215040, while the sum is 45.

The spelling of 11314254817008 in words is "eleven trillion, three hundred fourteen billion, two hundred fifty-four million, eight hundred seventeen thousand, eight".