14413322137928 has 192 divisors, whose sum is σ = 31652556364800. Its totient is φ = 6026661273600.

The previous prime is 14413322137873. The next prime is 14413322137939. The reversal of 14413322137928 is 82973122331441.

14413322137928 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×14413322137928² (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 47 ways as a sum of consecutive naturals, for example, 23745176201 + ... + 23745176807.

It is an arithmetic number, because the mean of its divisors is an integer number (164857064400).

Almost surely, 2^{14413322137928} 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 14413322137928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15826278182400).

14413322137928 is an abundant number, since it is smaller than the sum of its proper divisors (17239234226872).

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

14413322137928 is a wasteful number, since it uses less digits than its factorization.

14413322137928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1328 (or 1215 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 50.

The spelling of 14413322137928 in words is "fourteen trillion, four hundred thirteen billion, three hundred twenty-two million, one hundred thirty-seven thousand, nine hundred twenty-eight".