14338001120328 has 96 divisors (see below), whose sum is σ = 41745580156800. Its totient is φ = 4431453853824.

The previous prime is 14338001120299. The next prime is 14338001120351. The reversal of 14338001120328 is 82302110083341.

14338001120328 is a `hidden beast` number, since 1 + 43 + 380 + 0 + 11 + 203 + 28 = 666.

It is a super-2 number, since 2×14338001120328² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 14338001120292 and 14338001120301.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 111435651 + ... + 111564242.

It is an arithmetic number, because the mean of its divisors is an integer number (434849793300).

Almost surely, 2^{14338001120328} is an apocalyptic number.

14338001120328 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

14338001120328 is an abundant number, since it is smaller than the sum of its proper divisors (27407579036472).

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

14338001120328 is a wasteful number, since it uses less digits than its factorization.

14338001120328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 222999971 (or 222999964 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The spelling of 14338001120328 in words is "fourteen trillion, three hundred thirty-eight billion, one million, one hundred twenty thousand, three hundred twenty-eight".