13643390140416 has 135 divisors (see below), whose sum is σ = 39417133197351. Its totient is φ = 4547323920384.

The previous prime is 13643390140337. The next prime is 13643390140459. The reversal of 13643390140416 is 61404109334631.

The square root of 13643390140416 is 3693696.

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

13643390140416 is a `hidden beast` number, since 1 + 3 + 6 + 4 + 3 + 3 + 90 + 140 + 416 = 666.

It is a super-3 number, since 3×13643390140416³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1418374455 + ... + 1418384073.

Almost surely, 2^{13643390140416} is an apocalyptic number.

13643390140416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

13643390140416 is the 3693696-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 13643390140416

13643390140416 is an abundant number, since it is smaller than the sum of its proper divisors (25773743056935).

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

13643390140416 is an frugal number, since it uses more digits than its factorization.

13643390140416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 19272 (or 9624 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 13643390140416 in words is "thirteen trillion, six hundred forty-three billion, three hundred ninety million, one hundred forty thousand, four hundred sixteen".