14045832669330 has 384 divisors, whose sum is σ = 48569422970880. Its totient is φ = 2824464297600.

The previous prime is 14045832669263. The next prime is 14045832669359. The reversal of 14045832669330 is 3396623854041.

14045832669330 is a `hidden beast` number, since 1 + 4 + 0 + 4 + 583 + 26 + 6 + 9 + 3 + 30 = 666.

14045832669330 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 6098767 + ... + 8080013.

It is an arithmetic number, because the mean of its divisors is an integer number (126482872320).

Almost surely, 2^{14045832669330} is an apocalyptic number.

14045832669330 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 14045832669330, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24284711485440).

14045832669330 is an abundant number, since it is smaller than the sum of its proper divisors (34523590301550).

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

14045832669330 is a wasteful number, since it uses less digits than its factorization.

14045832669330 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1981323 (or 1981306 counting only the distinct ones).

The product of its (nonzero) digits is 11197440, while the sum is 54.

The spelling of 14045832669330 in words is "fourteen trillion, forty-five billion, eight hundred thirty-two million, six hundred sixty-nine thousand, three hundred thirty".