1206728614144 has 81 divisors (see below), whose sum is σ = 2445676374351. Its totient is φ = 594251051520.

The previous prime is 1206728614141. The next prime is 1206728614229. The reversal of 1206728614144 is 4414168276021.

The square root of 1206728614144 is 1098512.

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

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1206728614094 and 1206728614103.

It is not an unprimeable number, because it can be changed into a prime (1206728614141) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1247909149 + ... + 1247910115.

Almost surely, 2^{1206728614144} is an apocalyptic number.

1206728614144 is the 1098512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1206728614144

1206728614144 is an abundant number, since it is smaller than the sum of its proper divisors (1238947760207).

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

1206728614144 is an frugal number, since it uses more digits than its factorization.

1206728614144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2092 (or 1040 counting only the distinct ones).

The product of its (nonzero) digits is 516096, while the sum is 46.

The spelling of 1206728614144 in words is "one trillion, two hundred six billion, seven hundred twenty-eight million, six hundred fourteen thousand, one hundred forty-four".