14133973819392 has 336 divisors, whose sum is σ = 47922892085952. Its totient is φ = 3929130270720.

The previous prime is 14133973819363. The next prime is 14133973819411. The reversal of 14133973819392 is 29391837933141.

14133973819392 is a `hidden beast` number, since 1 + 4 + 133 + 97 + 381 + 9 + 39 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (336).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

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, 18725467 + ... + 19465637.

Almost surely, 2^{14133973819392} is an apocalyptic number.

14133973819392 is a gapful number since it is divisible by the number (12) 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 14133973819392, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23961446042976).

14133973819392 is an abundant number, since it is smaller than the sum of its proper divisors (33788918266560).

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

14133973819392 is an equidigital number, since it uses as much as digits as its factorization.

14133973819392 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 740247 (or 740220 counting only the distinct ones).

The product of its digits is 26453952, while the sum is 63.

The spelling of 14133973819392 in words is "fourteen trillion, one hundred thirty-three billion, nine hundred seventy-three million, eight hundred nineteen thousand, three hundred ninety-two".