13218560784 has 405 divisors, whose sum is σ = 44697867669. Its totient is φ = 3642312960.

The previous prime is 13218560753. The next prime is 13218560791. The reversal of 13218560784 is 48706581231.

The square root of 13218560784 is 114972.

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

13218560784 is a `hidden beast` number, since 1 + 3 + 2 + 1 + 8 + 560 + 7 + 84 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1955408400 + 11263152384 = 44220^2 + 106128^2 .

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, 197291919 + ... + 197291985.

Almost surely, 2^13218560784 is an apocalyptic number.

13218560784 is the 114972-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13218560784

13218560784 is an abundant number, since it is smaller than the sum of its proper divisors (31479306885).

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

13218560784 is a wasteful number, since it uses less digits than its factorization.

13218560784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 196 (or 96 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 13218560784 in words is "thirteen billion, two hundred eighteen million, five hundred sixty thousand, seven hundred eighty-four".