14795673480000 has 630 divisors, whose sum is σ = 61646672301786. Its totient is φ = 3381864192000.

The previous prime is 14795673479959. The next prime is 14795673480011. The reversal of 14795673480000 is 8437659741.

14795673480000 is a `hidden beast` number, since 1 + 4 + 7 + 95 + 6 + 73 + 480 + 0 + 0 + 0 = 666.

14795673480000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 5 ways, for example, as 2103497718336 + 12692175761664 = 1450344^2 + 3562608^2 .

It is a tau number, because it is divible by the number of its divisors (630).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 17220622 + ... + 18059378.

Almost surely, 2^{14795673480000} is an apocalyptic number.

14795673480000 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 14795673480000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30823336150893).

14795673480000 is an abundant number, since it is smaller than the sum of its proper divisors (46850998821786).

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

14795673480000 is an equidigital number, since it uses as much as digits as its factorization.

14795673480000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 838809 (or 838774 counting only the distinct ones).

The product of its (nonzero) digits is 5080320, while the sum is 54.

The spelling of 14795673480000 in words is "fourteen trillion, seven hundred ninety-five billion, six hundred seventy-three million, four hundred eighty thousand".