201422544136224 has 192 divisors, whose sum is σ = 536137803532800. Its totient is φ = 66205044652032.

The previous prime is 201422544136223. The next prime is 201422544136283. The reversal of 201422544136224 is 422631445224102.

It is not an unprimeable number, because it can be changed into a prime (201422544136223) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 5625838707 + ... + 5625874509.

It is an arithmetic number, because the mean of its divisors is an integer number (2792384393400).

Almost surely, 2^{201422544136224} is an apocalyptic number.

201422544136224 is a gapful number since it is divisible by the number (24) 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 201422544136224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (268068901766400).

201422544136224 is an abundant number, since it is smaller than the sum of its proper divisors (334715259396576).

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

201422544136224 is a wasteful number, since it uses less digits than its factorization.

201422544136224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 37687 (or 37679 counting only the distinct ones).

The product of its (nonzero) digits is 737280, while the sum is 42.

The spelling of 201422544136224 in words is "two hundred one trillion, four hundred twenty-two billion, five hundred forty-four million, one hundred thirty-six thousand, two hundred twenty-four".