13117849644240 has 800 divisors, whose sum is σ = 52966814478336. Its totient is φ = 2977083141120.

The previous prime is 13117849644181. The next prime is 13117849644241. The reversal of 13117849644240 is 4244694871131.

It is a happy number.

13117849644240 is a `hidden beast` number, since 1 + 3 + 1 + 1 + 78 + 4 + 96 + 442 + 40 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13117849644241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 76968559 + ... + 77138801.

Almost surely, 2^{13117849644240} is an apocalyptic number.

13117849644240 is a gapful number since it is divisible by the number (10) 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 13117849644240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26483407239168).

13117849644240 is an abundant number, since it is smaller than the sum of its proper divisors (39848964834096).

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

13117849644240 is a wasteful number, since it uses less digits than its factorization.

13117849644240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 170349 (or 170334 counting only the distinct ones).

The product of its (nonzero) digits is 4644864, while the sum is 54.

The spelling of 13117849644240 in words is "thirteen trillion, one hundred seventeen billion, eight hundred forty-nine million, six hundred forty-four thousand, two hundred forty".