14786811228672 has 960 divisors, whose sum is σ = 55771439328000. Its totient is φ = 3839085379584.

The previous prime is 14786811228589. The next prime is 14786811228781. The reversal of 14786811228672 is 27682211868741.

14786811228672 is a `hidden beast` number, since 1 + 478 + 6 + 8 + 1 + 12 + 2 + 86 + 72 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 333924229 + ... + 333968507.

It is an arithmetic number, because the mean of its divisors is an integer number (58095249300).

Almost surely, 2^{14786811228672} is an apocalyptic number.

14786811228672 is a gapful number since it is divisible by the number (12) 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 14786811228672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27885719664000).

14786811228672 is an abundant number, since it is smaller than the sum of its proper divisors (40984628099328).

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

14786811228672 is a wasteful number, since it uses less digits than its factorization.

14786811228672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 44366 (or 44337 counting only the distinct ones).

The product of its digits is 28901376, while the sum is 63.

The spelling of 14786811228672 in words is "fourteen trillion, seven hundred eighty-six billion, eight hundred eleven million, two hundred twenty-eight thousand, six hundred seventy-two".