14455687680 has 800 divisors, whose sum is σ = 61887538944. Its totient is φ = 3153199104.

The previous prime is 14455687679. The next prime is 14455687693. The reversal of 14455687680 is 8678655441.

14455687680 is a `hidden beast` number, since 1 + 4 + 4 + 5 + 568 + 76 + 8 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 33384744 + ... + 33385176.

Almost surely, 2^14455687680 is an apocalyptic number.

14455687680 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 14455687680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30943769472).

14455687680 is an abundant number, since it is smaller than the sum of its proper divisors (47431851264).

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

14455687680 is an equidigital number, since it uses as much as digits as its factorization.

14455687680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 498 (or 473 counting only the distinct ones).

The product of its (nonzero) digits is 6451200, while the sum is 54.

The spelling of 14455687680 in words is "fourteen billion, four hundred fifty-five million, six hundred eighty-seven thousand, six hundred eighty".