201094848321312 has 384 divisors, whose sum is σ = 611913570508800. Its totient is φ = 57237633331200.

The previous prime is 201094848321287. The next prime is 201094848321331. The reversal of 201094848321312 is 213123848490102.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 12734768137 + ... + 12734783927.

It is an arithmetic number, because the mean of its divisors is an integer number (1593524923200).

Almost surely, 2^{201094848321312} is an apocalyptic number.

201094848321312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 201094848321312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (305956785254400).

201094848321312 is an abundant number, since it is smaller than the sum of its proper divisors (410818722187488).

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

201094848321312 is a wasteful number, since it uses less digits than its factorization.

201094848321312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27120 (or 27112 counting only the distinct ones).

The product of its (nonzero) digits is 663552, while the sum is 48.

The spelling of 201094848321312 in words is "two hundred one trillion, ninety-four billion, eight hundred forty-eight million, three hundred twenty-one thousand, three hundred twelve".