1950055845136 has 135 divisors (see below), whose sum is σ = 4484343929583. Its totient is φ = 819098192640.

The previous prime is 1950055845131. The next prime is 1950055845151. The reversal of 1950055845136 is 6315485500591.

The square root of 1950055845136 is 1396444.

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

It can be written as a sum of positive squares in 4 ways, for example, as 229383523600 + 1720672321536 = 478940^2 + 1311744^2 .

It is not an unprimeable number, because it can be changed into a prime (1950055845131) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 2072322426 + ... + 2072323366.

Almost surely, 2^{1950055845136} is an apocalyptic number.

1950055845136 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1950055845136 is the 1396444-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1950055845136

1950055845136 is an abundant number, since it is smaller than the sum of its proper divisors (2534288084447).

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

1950055845136 is an frugal number, since it uses more digits than its factorization.

1950055845136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2010 (or 1003 counting only the distinct ones).

The product of its (nonzero) digits is 3240000, while the sum is 52.

The spelling of 1950055845136 in words is "one trillion, nine hundred fifty billion, fifty-five million, eight hundred forty-five thousand, one hundred thirty-six".