9200001141 has 56 divisors (see below), whose sum is σ = 13987741824. Its totient is φ = 6047784000.

The previous prime is 9200001137. The next prime is 9200001143. The reversal of 9200001141 is 1411000029.

It is not a de Polignac number, because 9200001141 - 2² = 9200001137 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (9200001143) by changing a digit.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 25067940 + ... + 25068306.

It is an arithmetic number, because the mean of its divisors is an integer number (249781104).

Almost surely, 2^9200001141 is an apocalyptic number.

It is an amenable number.

9200001141 is a deficient number, since it is larger than the sum of its proper divisors (4787740683).

9200001141 is a wasteful number, since it uses less digits than its factorization.

9200001141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 773 (or 758 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 18.

The square root of 9200001141 is about 95916.6364141279. The cubic root of 9200001141 is about 2095.3791929675.

The spelling of 9200001141 in words is "nine billion, two hundred million, one thousand, one hundred forty-one".