745045185600 has 189 divisors, whose sum is σ = 2648434699183. Its totient is φ = 198651095040.

The previous prime is 745045185593. The next prime is 745045185611. The reversal of 745045185600 is 6581540547.

The square root of 745045185600 is 863160.

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

745045185600 is a `hidden beast` number, since 7 + 4 + 504 + 5 + 1 + 85 + 60 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 292040806464 + 453004379136 = 540408^2 + 673056^2 .

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 103575604 + ... + 103582796.

Almost surely, 2^745045185600 is an apocalyptic number.

745045185600 is the 863160-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 745045185600

745045185600 is an abundant number, since it is smaller than the sum of its proper divisors (1903389513583).

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

745045185600 is an frugal number, since it uses more digits than its factorization.

745045185600 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14414 (or 7203 counting only the distinct ones).

The product of its (nonzero) digits is 672000, while the sum is 45.

The spelling of 745045185600 in words is "seven hundred forty-five billion, forty-five million, one hundred eighty-five thousand, six hundred".