201434144112 has 80 divisors (see below), whose sum is σ = 579134574880. Its totient is φ = 67035091968.

The previous prime is 201434144089. The next prime is 201434144123. The reversal of 201434144112 is 211441434102.

201434144112 is a `hidden beast` number, since 201 + 4 + 3 + 4 + 1 + 441 + 12 = 666.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 115513 + ... + 645144.

It is an arithmetic number, because the mean of its divisors is an integer number (7239182186).

Almost surely, 2^201434144112 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 201434144112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (289567287440).

201434144112 is an abundant number, since it is smaller than the sum of its proper divisors (377700430768).

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

201434144112 is a wasteful number, since it uses less digits than its factorization.

201434144112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 761287 (or 761275 counting only the distinct ones).

The product of its (nonzero) digits is 3072, while the sum is 27.

Adding to 201434144112 its reverse (211441434102), we get a palindrome (412875578214).

The spelling of 201434144112 in words is "two hundred one billion, four hundred thirty-four million, one hundred forty-four thousand, one hundred twelve".