14575331680 has 576 divisors, whose sum is σ = 46454446080. Its totient is φ = 4204597248.

The previous prime is 14575331663. The next prime is 14575331689. The reversal of 14575331680 is 8613357541.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (14575331689) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 247039491 + ... + 247039549.

It is an arithmetic number, because the mean of its divisors is an integer number (80650080).

Almost surely, 2^14575331680 is an apocalyptic number.

14575331680 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 14575331680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23227223040).

14575331680 is an abundant number, since it is smaller than the sum of its proper divisors (31879114400).

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

14575331680 is a wasteful number, since it uses less digits than its factorization.

14575331680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 179 (or 152 counting only the distinct ones).

The product of its (nonzero) digits is 302400, while the sum is 43.

The spelling of 14575331680 in words is "fourteen billion, five hundred seventy-five million, three hundred thirty-one thousand, six hundred eighty".