14491975680 has 864 divisors, whose sum is σ = 64122274944. Its totient is φ = 3057647616.

The previous prime is 14491975657. The next prime is 14491975709. The reversal of 14491975680 is 8657919441.

14491975680 is a `hidden beast` number, since 1 + 4 + 491 + 9 + 75 + 6 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is a super-2 number, since 2×14491975680² (a number of 21 digits) contains 22 as substring.

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 47 ways as a sum of consecutive naturals, for example, 1114767354 + ... + 1114767366.

It is an arithmetic number, because the mean of its divisors is an integer number (74215596).

Almost surely, 2^14491975680 is an apocalyptic number.

14491975680 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 14491975680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32061137472).

14491975680 is an abundant number, since it is smaller than the sum of its proper divisors (49630299264).

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

14491975680 is an frugal number, since it uses more digits than its factorization.

14491975680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 74 (or 30 counting only the distinct ones).

The product of its (nonzero) digits is 2177280, while the sum is 54.

The spelling of 14491975680 in words is "fourteen billion, four hundred ninety-one million, nine hundred seventy-five thousand, six hundred eighty".