14746949378208 has 384 divisors, whose sum is σ = 47280302899200. Its totient is φ = 4451055307776.

The previous prime is 14746949378197. The next prime is 14746949378209. The reversal of 14746949378208 is 80287394964741.

14746949378208 is a `hidden beast` number, since 1 + 4 + 7 + 4 + 6 + 9 + 49 + 378 + 208 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is not an unprimeable number, because it can be changed into a prime (14746949378209) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 518386641 + ... + 518415087.

It is an arithmetic number, because the mean of its divisors is an integer number (123125788800).

Almost surely, 2^{14746949378208} is an apocalyptic number.

14746949378208 is a gapful number since it is divisible by the number (18) 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 14746949378208, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23640151449600).

14746949378208 is an abundant number, since it is smaller than the sum of its proper divisors (32533353520992).

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

14746949378208 is a wasteful number, since it uses less digits than its factorization.

14746949378208 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29881 (or 29867 counting only the distinct ones).

The product of its (nonzero) digits is 585252864, while the sum is 72.

The spelling of 14746949378208 in words is "fourteen trillion, seven hundred forty-six billion, nine hundred forty-nine million, three hundred seventy-eight thousand, two hundred eight".