45770589200700 has 432 divisors, whose sum is σ = 177409666610176. Its totient is φ = 9611319513600.

The previous prime is 45770589200647. The next prime is 45770589200839. The reversal of 45770589200700 is 700298507754.

It is a happy number.

45770589200700 is a `hidden beast` number, since 4 + 57 + 7 + 0 + 589 + 2 + 0 + 0 + 7 + 0 + 0 = 666.

45770589200700 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is an unprimeable number.

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 143 ways as a sum of consecutive naturals, for example, 15956589 + ... + 18605211.

Almost surely, 2^{45770589200700} 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 45770589200700, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (88704833305088).

45770589200700 is an abundant number, since it is smaller than the sum of its proper divisors (131639077409476).

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

45770589200700 is a wasteful number, since it uses less digits than its factorization.

45770589200700 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2648874 (or 2648864 counting only the distinct ones).

The product of its (nonzero) digits is 4939200, while the sum is 54.

The spelling of 45770589200700 in words is "forty-five trillion, seven hundred seventy billion, five hundred eighty-nine million, two hundred thousand, seven hundred".