1945013444136 has 384 divisors, whose sum is σ = 6438160834560. Its totient is φ = 538550208000.

The previous prime is 1945013444131. The next prime is 1945013444191. The reversal of 1945013444136 is 6314443105491.

1945013444136 is a `hidden beast` number, since 1 + 9 + 4 + 501 + 3 + 4 + 4 + 4 + 136 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 1945013444091 and 1945013444100.

It is not an unprimeable number, because it can be changed into a prime (1945013444131) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 84235585 + ... + 84258671.

It is an arithmetic number, because the mean of its divisors is an integer number (16766043840).

Almost surely, 2^{1945013444136} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1945013444136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3219080417280).

1945013444136 is an abundant number, since it is smaller than the sum of its proper divisors (4493147390424).

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

1945013444136 is a wasteful number, since it uses less digits than its factorization.

1945013444136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23307 (or 23291 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

The spelling of 1945013444136 in words is "one trillion, nine hundred forty-five billion, thirteen million, four hundred forty-four thousand, one hundred thirty-six".