18978212247201 has 81 divisors (see below), whose sum is σ = 28615949935443. Its totient is φ = 12119850529920.

The previous prime is 18978212247191. The next prime is 18978212247223. The reversal of 18978212247201 is 10274221287981.

The square root of 18978212247201 is 4356399.

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

18978212247201 is a `hidden beast` number, since 1 + 8 + 97 + 82 + 1 + 2 + 2 + 472 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 5117661950625 + 13860550296576 = 2262225^2 + 3722976^2 .

It is not a de Polignac number, because 18978212247201 - 2⁷ = 18978212247073 is a prime.

It is not an unprimeable number, because it can be changed into a prime (18978212247251) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 56315169705 + ... + 56315170041.

Almost surely, 2^{18978212247201} is an apocalyptic number.

18978212247201 is the 4356399-th square number.

18978212247201 is the 2178200-th centered octagonal number.

It is an amenable number.

18978212247201 is a deficient number, since it is larger than the sum of its proper divisors (9637737688242).

18978212247201 is an frugal number, since it uses more digits than its factorization.

18978212247201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 510 counting only the distinct ones).

The product of its (nonzero) digits is 1806336, while the sum is 54.

The spelling of 18978212247201 in words is "eighteen trillion, nine hundred seventy-eight billion, two hundred twelve million, two hundred forty-seven thousand, two hundred one".