13914302744160 has 1344 divisors, whose sum is σ = 61102898519040. Its totient is φ = 2914335313920.

The previous prime is 13914302744107. The next prime is 13914302744197. The reversal of 13914302744160 is 6144720341931.

It is a happy number.

13914302744160 is a `hidden beast` number, since 1 + 3 + 9 + 143 + 0 + 2 + 7 + 441 + 60 = 666.

It is a super-2 number, since 2×13914302744160² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 223 ways as a sum of consecutive naturals, for example, 1475374645 + ... + 1475384075.

It is an arithmetic number, because the mean of its divisors is an integer number (45463466160).

Almost surely, 2^{13914302744160} is an apocalyptic number.

13914302744160 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 13914302744160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30551449259520).

13914302744160 is an abundant number, since it is smaller than the sum of its proper divisors (47188595774880).

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

13914302744160 is a wasteful number, since it uses less digits than its factorization.

13914302744160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9623 (or 9600 counting only the distinct ones).

The product of its (nonzero) digits is 435456, while the sum is 45.

The spelling of 13914302744160 in words is "thirteen trillion, nine hundred fourteen billion, three hundred two million, seven hundred forty-four thousand, one hundred sixty".