14813422940160 has 832 divisors, whose sum is σ = 57493507075200. Its totient is φ = 3596303204352.

The previous prime is 14813422940131. The next prime is 14813422940161. The reversal of 14813422940160 is 6104922431841.

14813422940160 is a `hidden beast` number, since 1 + 4 + 8 + 1 + 342 + 294 + 0 + 16 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (832).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14813422940161) by changing a digit.

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 63 ways as a sum of consecutive naturals, for example, 524744926 + ... + 524773154.

Almost surely, 2^{14813422940160} is an apocalyptic number.

14813422940160 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 14813422940160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28746753537600).

14813422940160 is an abundant number, since it is smaller than the sum of its proper divisors (42680084135040).

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

14813422940160 is a wasteful number, since it uses less digits than its factorization.

14813422940160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28353 (or 28325 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 14813422940160 in words is "fourteen trillion, eight hundred thirteen billion, four hundred twenty-two million, nine hundred forty thousand, one hundred sixty".