945561760000 has 1215 divisors, whose sum is σ = 2982037085643. Its totient is φ = 298721280000.

The previous prime is 945561759979. The next prime is 945561760027. The reversal of 945561760000 is 67165549.

The square root of 945561760000 is 972400.

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

945561760000 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 22 ways, for example, as 816146014464 + 129415745536 = 903408^2 + 359744^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 55621279992 + ... + 55621280008.

Almost surely, 2^945561760000 is an apocalyptic number.

945561760000 is the 972400-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 945561760000

945561760000 is an abundant number, since it is smaller than the sum of its proper divisors (2036475325643).

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

945561760000 is a wasteful number, since it uses less digits than its factorization.

945561760000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 118 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 226800, while the sum is 43.

The spelling of 945561760000 in words is "nine hundred forty-five billion, five hundred sixty-one million, seven hundred sixty thousand".