14738226760320 has 768 divisors, whose sum is σ = 59079554150400. Its totient is φ = 3052649521152.

The previous prime is 14738226760319. The next prime is 14738226760351. The reversal of 14738226760320 is 2306762283741.

It is a super-2 number, since 2×14738226760320² (a number of 27 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 135030889 + ... + 135139991.

It is an arithmetic number, because the mean of its divisors is an integer number (76926502800).

Almost surely, 2^{14738226760320} is an apocalyptic number.

14738226760320 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 14738226760320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29539777075200).

14738226760320 is an abundant number, since it is smaller than the sum of its proper divisors (44341327390080).

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

14738226760320 is a wasteful number, since it uses less digits than its factorization.

14738226760320 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 109197 (or 109162 counting only the distinct ones).

The product of its (nonzero) digits is 4064256, while the sum is 51.

The spelling of 14738226760320 in words is "fourteen trillion, seven hundred thirty-eight billion, two hundred twenty-six million, seven hundred sixty thousand, three hundred twenty".