14172817680 has 480 divisors, whose sum is σ = 56331894528. Its totient is φ = 3126067200.

The previous prime is 14172817657. The next prime is 14172817693. The reversal of 14172817680 is 8671827141.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 22110160 + ... + 22110800.

Almost surely, 2^14172817680 is an apocalyptic number.

14172817680 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 14172817680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28165947264).

14172817680 is an abundant number, since it is smaller than the sum of its proper divisors (42159076848).

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

14172817680 is a wasteful number, since it uses less digits than its factorization.

14172817680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 815 (or 806 counting only the distinct ones).

The product of its (nonzero) digits is 150528, while the sum is 45.

The spelling of 14172817680 in words is "fourteen billion, one hundred seventy-two million, eight hundred seventeen thousand, six hundred eighty".