201323094048 has 288 divisors, whose sum is σ = 624862785456. Its totient is φ = 61227270144.

The previous prime is 201323094043. The next prime is 201323094131. The reversal of 201323094048 is 840490323102.

201323094048 is a `hidden beast` number, since 2 + 0 + 13 + 230 + 9 + 404 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 182899918224 + 18423175824 = 427668^2 + 135732^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is not an unprimeable number, because it can be changed into a prime (201323094043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 53075640 + ... + 53079432.

Almost surely, 2^201323094048 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 201323094048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (312431392728).

201323094048 is an abundant number, since it is smaller than the sum of its proper divisors (423539691408).

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

201323094048 is a wasteful number, since it uses less digits than its factorization.

201323094048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4156 (or 4145 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 36.

The spelling of 201323094048 in words is "two hundred one billion, three hundred twenty-three million, ninety-four thousand, forty-eight".