14347178380920 has 512 divisors, whose sum is σ = 54489048883200. Its totient is φ = 2935337011200.

The previous prime is 14347178380891. The next prime is 14347178380933. The reversal of 14347178380920 is 2908387174341.

14347178380920 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 1745182410 + ... + 1745190630.

It is an arithmetic number, because the mean of its divisors is an integer number (106423923600).

Almost surely, 2^{14347178380920} is an apocalyptic number.

14347178380920 is a gapful number since it is divisible by the number (10) 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 14347178380920, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27244524441600).

14347178380920 is an abundant number, since it is smaller than the sum of its proper divisors (40141870502280).

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

14347178380920 is a wasteful number, since it uses less digits than its factorization.

14347178380920 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11139 (or 11135 counting only the distinct ones).

The product of its (nonzero) digits is 8128512, while the sum is 57.

The spelling of 14347178380920 in words is "fourteen trillion, three hundred forty-seven billion, one hundred seventy-eight million, three hundred eighty thousand, nine hundred twenty".