14121164264732 has 192 divisors, whose sum is σ = 31889900206080. Its totient is φ = 5330855337984.

The previous prime is 14121164264731. The next prime is 14121164264743. The reversal of 14121164264732 is 23746246112141.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14121164264731) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 496632788 + ... + 496661220.

It is an arithmetic number, because the mean of its divisors is an integer number (166093230240).

Almost surely, 2^{14121164264732} 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 14121164264732, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15944950103040).

14121164264732 is an abundant number, since it is smaller than the sum of its proper divisors (17768735941348).

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

14121164264732 is a wasteful number, since it uses less digits than its factorization.

14121164264732 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29620 (or 29618 counting only the distinct ones).

The product of its digits is 387072, while the sum is 44.

The spelling of 14121164264732 in words is "fourteen trillion, one hundred twenty-one billion, one hundred sixty-four million, two hundred sixty-four thousand, seven hundred thirty-two".