14922765344080 has 320 divisors, whose sum is σ = 40458839040000. Its totient is φ = 5061705707520.

The previous prime is 14922765344041. The next prime is 14922765344111. The reversal of 14922765344080 is 8044356722941.

It is a Harshad number since it is a multiple of its sum of digits (55).

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 63 ways as a sum of consecutive naturals, for example, 355630141 + ... + 355672099.

It is an arithmetic number, because the mean of its divisors is an integer number (126433872000).

It is a 1-persistent number, because it is pandigital, but 2⋅14922765344080 = 29845530688160 is not.

Almost surely, 2^{14922765344080} is an apocalyptic number.

14922765344080 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 14922765344080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20229419520000).

14922765344080 is an abundant number, since it is smaller than the sum of its proper divisors (25536073695920).

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

14922765344080 is a wasteful number, since it uses less digits than its factorization.

14922765344080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 42330 (or 42324 counting only the distinct ones).

The product of its (nonzero) digits is 11612160, while the sum is 55.

The spelling of 14922765344080 in words is "fourteen trillion, nine hundred twenty-two billion, seven hundred sixty-five million, three hundred forty-four thousand, eighty".