14680476642384 has 960 divisors, whose sum is σ = 52582702348800. Its totient is φ = 3726692057088.

The previous prime is 14680476642361. The next prime is 14680476642431. The reversal of 14680476642384 is 48324667408641.

14680476642384 is a `hidden beast` number, since 1 + 4 + 6 + 8 + 0 + 476 + 64 + 23 + 84 = 666.

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

It is a congruent number.

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 191 ways as a sum of consecutive naturals, for example, 9297324507 + ... + 9297326085.

It is an arithmetic number, because the mean of its divisors is an integer number (54773648280).

Almost surely, 2^{14680476642384} is an apocalyptic number.

14680476642384 is a gapful number since it is divisible by the number (14) 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 14680476642384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (26291351174400).

14680476642384 is an abundant number, since it is smaller than the sum of its proper divisors (37902225706416).

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

14680476642384 is a wasteful number, since it uses less digits than its factorization.

14680476642384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2052 (or 2043 counting only the distinct ones).

The product of its (nonzero) digits is 148635648, while the sum is 63.

The spelling of 14680476642384 in words is "fourteen trillion, six hundred eighty billion, four hundred seventy-six million, six hundred forty-two thousand, three hundred eighty-four".