1420892608144 has 45 divisors (see below), whose sum is σ = 2844945866889. Its totient is φ = 687457160640.

The previous prime is 1420892608141. The next prime is 1420892608181. The reversal of 1420892608144 is 4418062980241.

The square root of 1420892608144 is 1192012.

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., 1415576448400 + 5316159744 = 1189780^2 + 72912^2 .

It is not an unprimeable number, because it can be changed into a prime (1420892608141) 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 8 ways as a sum of consecutive naturals, for example, 147804682 + ... + 147814294.

Almost surely, 2^{1420892608144} is an apocalyptic number.

1420892608144 is the 1192012-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1420892608144

1420892608144 is an abundant number, since it is smaller than the sum of its proper divisors (1424053258745).

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

1420892608144 is an frugal number, since it uses more digits than its factorization.

1420892608144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19296 (or 9646 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 49.

Multiplying 1420892608144 by its sum of digits (49), we get a square (69623737799056 = 8344084²).

The spelling of 1420892608144 in words is "one trillion, four hundred twenty billion, eight hundred ninety-two million, six hundred eight thousand, one hundred forty-four".