13866746020864 has 297 divisors, whose sum is σ = 31113024782413. Its totient is φ = 6172584140800.

The previous prime is 13866746020859. The next prime is 13866746020913. The reversal of 13866746020864 is 46802064766831.

It is a happy number.

The square root of 13866746020864 is 3723808.

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

It can be written as a sum of positive squares in only one way, i.e., 1624584766464 + 12242161254400 = 1274592^2 + 3498880^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 93065409462 + ... + 93065409610.

Almost surely, 2^{13866746020864} is an apocalyptic number.

13866746020864 is the 3723808-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13866746020864

13866746020864 is an abundant number, since it is smaller than the sum of its proper divisors (17246278761549).

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

13866746020864 is an frugal number, since it uses more digits than its factorization.

13866746020864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482 (or 233 counting only the distinct ones).

The product of its (nonzero) digits is 55738368, while the sum is 61.

The spelling of 13866746020864 in words is "thirteen trillion, eight hundred sixty-six billion, seven hundred forty-six million, twenty thousand, eight hundred sixty-four".