1420847312049 has 81 divisors (see below), whose sum is σ = 2314863158881. Its totient is φ = 839163072000.

The previous prime is 1420847311993. The next prime is 1420847312051. The reversal of 1420847312049 is 9402137480241.

The square root of 1420847312049 is 1191993.

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

1420847312049 is a `hidden beast` number, since 14 + 2 + 0 + 8 + 473 + 120 + 49 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 895686209649 + 525161102400 = 946407^2 + 724680^2 .

It is not a de Polignac number, because 1420847312049 - 2¹³ = 1420847303857 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1420847311995 and 1420847312013.

It is not an unprimeable number, because it can be changed into a prime (1420847312749) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 1612766089 + ... + 1612766969.

Almost surely, 2^{1420847312049} is an apocalyptic number.

1420847312049 is the 1191993-rd square number.

1420847312049 is the 595997-th centered octagonal number.

It is an amenable number.

1420847312049 is a deficient number, since it is larger than the sum of its proper divisors (894015846832).

1420847312049 is an frugal number, since it uses more digits than its factorization.

1420847312049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1872 (or 936 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 1420847312049 in words is "one trillion, four hundred twenty billion, eight hundred forty-seven million, three hundred twelve thousand, forty-nine".