1945589784336 has 135 divisors (see below), whose sum is σ = 5985510583143. Its totient is φ = 589516868160.

The previous prime is 1945589784323. The next prime is 1945589784373. The reversal of 1945589784336 is 6334879855491.

The square root of 1945589784336 is 1394844.

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

1945589784336 is a `hidden beast` number, since 1 + 9 + 4 + 5 + 589 + 7 + 8 + 4 + 3 + 36 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is an unprimeable number.

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 26 ways as a sum of consecutive naturals, for example, 184114125 + ... + 184124691.

Almost surely, 2^{1945589784336} is an apocalyptic number.

1945589784336 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1945589784336 is the 1394844-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1945589784336

1945589784336 is an abundant number, since it is smaller than the sum of its proper divisors (4039920798807).

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

1945589784336 is an equidigital number, since it uses as much as digits as its factorization.

1945589784336 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 21170 (or 10583 counting only the distinct ones).

The product of its digits is 783820800, while the sum is 72.

The spelling of 1945589784336 in words is "one trillion, nine hundred forty-five billion, five hundred eighty-nine million, seven hundred eighty-four thousand, three hundred thirty-six".