14021837795328 has 624 divisors, whose sum is σ = 44884577861760. Its totient is φ = 3850017177600.

The previous prime is 14021837795323. The next prime is 14021837795389. The reversal of 14021837795328 is 82359773812041.

It is a happy number.

It is a super-2 number, since 2×14021837795328² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (14021837795323) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1358568408 + ... + 1358578728.

It is an arithmetic number, because the mean of its divisors is an integer number (71930413240).

Almost surely, 2^{14021837795328} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14021837795328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22442288930880).

14021837795328 is an abundant number, since it is smaller than the sum of its proper divisors (30862740066432).

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

14021837795328 is a wasteful number, since it uses less digits than its factorization.

14021837795328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10424 (or 10379 counting only the distinct ones).

The product of its (nonzero) digits is 20321280, while the sum is 60.

The spelling of 14021837795328 in words is "fourteen trillion, twenty-one billion, eight hundred thirty-seven million, seven hundred ninety-five thousand, three hundred twenty-eight".