14985817807104 has 729 divisors, whose sum is σ = 46923391242273. Its totient is φ = 4776196368384.

The previous prime is 14985817807091. The next prime is 14985817807291. The reversal of 14985817807104 is 40170871858941.

The square root of 14985817807104 is 3871152.

It is a perfect power (a square), and thus also a powerful number.

14985817807104 is a `hidden beast` number, since 1 + 49 + 8 + 581 + 7 + 8 + 0 + 7 + 1 + 0 + 4 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7858199349504 + 7127618457600 = 2803248^2 + 2669760^2 .

It is a tau number, because it is divible by the number of its divisors (729).

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 145493376717 + ... + 145493376819.

Almost surely, 2^{14985817807104} is an apocalyptic number.

14985817807104 is the 3871152-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 14985817807104

14985817807104 is an abundant number, since it is smaller than the sum of its proper divisors (31937573435169).

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

14985817807104 is an frugal number, since it uses more digits than its factorization.

14985817807104 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 304 (or 137 counting only the distinct ones).

The product of its (nonzero) digits is 18063360, while the sum is 63.

The spelling of 14985817807104 in words is "fourteen trillion, nine hundred eighty-five billion, eight hundred seventeen million, eight hundred seven thousand, one hundred four".