1945844760366 has 128 divisors (see below), whose sum is σ = 4667300144640. Its totient is φ = 597363427584.

The previous prime is 1945844760319. The next prime is 1945844760367. The reversal of 1945844760366 is 6630674485491.

1945844760366 is a `hidden beast` number, since 1 + 9 + 4 + 584 + 47 + 6 + 0 + 3 + 6 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1945844760367) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 858333565 + ... + 858335831.

It is an arithmetic number, because the mean of its divisors is an integer number (36463282380).

Almost surely, 2^{1945844760366} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1945844760366, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2333650072320).

1945844760366 is an abundant number, since it is smaller than the sum of its proper divisors (2721455384274).

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

1945844760366 is a wasteful number, since it uses less digits than its factorization.

1945844760366 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4527 (or 4521 counting only the distinct ones).

The product of its (nonzero) digits is 104509440, while the sum is 63.

The spelling of 1945844760366 in words is "one trillion, nine hundred forty-five billion, eight hundred forty-four million, seven hundred sixty thousand, three hundred sixty-six".