14347538081856 has 672 divisors, whose sum is σ = 49996296499968. Its totient is φ = 3993932759040.

The previous prime is 14347538081711. The next prime is 14347538081861. The reversal of 14347538081856 is 65818083574341.

It is a happy number.

14347538081856 is a `hidden beast` number, since 1 + 4 + 3 + 4 + 75 + 380 + 8 + 185 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a junction number, because it is equal to n+sod(n) for n = 14347538081793 and 14347538081802.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4253641386 + ... + 4253644758.

It is an arithmetic number, because the mean of its divisors is an integer number (74399250744).

Almost surely, 2^{14347538081856} is an apocalyptic number.

14347538081856 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 14347538081856, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24998148249984).

14347538081856 is an abundant number, since it is smaller than the sum of its proper divisors (35648758418112).

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

14347538081856 is an equidigital number, since it uses as much as digits as its factorization.

14347538081856 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4401 (or 4379 counting only the distinct ones).

The product of its (nonzero) digits is 77414400, while the sum is 63.

The spelling of 14347538081856 in words is "fourteen trillion, three hundred forty-seven billion, five hundred thirty-eight million, eighty-one thousand, eight hundred fifty-six".