201958445000 has 80 divisors (see below), whose sum is σ = 509587926540. Its totient is φ = 74569248000.

The previous prime is 201958444997. The next prime is 201958445009. The reversal of 201958445000 is 544859102.

201958445000 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 10 ways, for example, as 110714576644 + 91243868356 = 332738^2 + 302066^2 .

It is not an unprimeable number, because it can be changed into a prime (201958445009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1488527 + ... + 1618526.

Almost surely, 2^201958445000 is an apocalyptic number.

201958445000 is a gapful number since it is divisible by the number (20) formed by its first and last digit.

It is an amenable number.

201958445000 is an abundant number, since it is smaller than the sum of its proper divisors (307629481540).

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

201958445000 is a wasteful number, since it uses less digits than its factorization.

201958445000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3107092 (or 3107073 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 38.

The spelling of 201958445000 in words is "two hundred one billion, nine hundred fifty-eight million, four hundred forty-five thousand".