14374145733936 has 160 divisors (see below), whose sum is σ = 37835929916928. Its totient is φ = 4701372426240.

The previous prime is 14374145733929. The next prime is 14374145734079. The reversal of 14374145733936 is 63933754147341.

It is a happy number.

It is a Smith number, since the sum of its digits (60) coincides with the sum of the digits of its prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 14374145733936.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2792720515 + ... + 2792725661.

Almost surely, 2^{14374145733936} is an apocalyptic number.

14374145733936 is a gapful number since it is divisible by the number (16) 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 14374145733936, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18917964958464).

14374145733936 is an abundant number, since it is smaller than the sum of its proper divisors (23461784182992).

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

14374145733936 is a wasteful number, since it uses less digits than its factorization.

14374145733936 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8979 (or 8973 counting only the distinct ones).

The product of its digits is 68584320, while the sum is 60.

The spelling of 14374145733936 in words is "fourteen trillion, three hundred seventy-four billion, one hundred forty-five million, seven hundred thirty-three thousand, nine hundred thirty-six".