14593483484160 has 704 divisors, whose sum is σ = 56369074176000. Its totient is φ = 3150195130368.

The previous prime is 14593483484119. The next prime is 14593483484161. The reversal of 14593483484160 is 6148438439541.

It is a Harshad number since it is a multiple of its sum of digits (60).

It is a junction number, because it is equal to n+sod(n) for n = 14593483484094 and 14593483484103.

It is not an unprimeable number, because it can be changed into a prime (14593483484161) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 195326491 + ... + 195401189.

Almost surely, 2^{14593483484160} is an apocalyptic number.

14593483484160 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 14593483484160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28184537088000).

14593483484160 is an abundant number, since it is smaller than the sum of its proper divisors (41775590691840).

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

14593483484160 is a wasteful number, since it uses less digits than its factorization.

14593483484160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 74836 (or 74818 counting only the distinct ones).

The product of its (nonzero) digits is 39813120, while the sum is 60.

The spelling of 14593483484160 in words is "fourteen trillion, five hundred ninety-three billion, four hundred eighty-three million, four hundred eighty-four thousand, one hundred sixty".