201032311014144 has 288 divisors, whose sum is σ = 601267043623680. Its totient is φ = 66249179136000.

The previous prime is 201032311014137. The next prime is 201032311014253. The reversal of 201032311014144 is 441410113230102.

It is a happy number.

201032311014144 is a `hidden beast` number, since 2 + 0 + 1 + 0 + 3 + 231 + 10 + 1 + 414 + 4 = 666.

201032311014144 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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 (27).

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 362858944 + ... + 363412544.

It is an arithmetic number, because the mean of its divisors is an integer number (2087732790360).

Almost surely, 2^{201032311014144} is an apocalyptic number.

201032311014144 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 201032311014144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300633521811840).

201032311014144 is an abundant number, since it is smaller than the sum of its proper divisors (400234732609536).

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

201032311014144 is a wasteful number, since it uses less digits than its factorization.

201032311014144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554224 (or 554204 counting only the distinct ones).

The product of its (nonzero) digits is 2304, while the sum is 27.

Adding to 201032311014144 its reverse (441410113230102), we get a palindrome (642442424244246).

The spelling of 201032311014144 in words is "two hundred one trillion, thirty-two billion, three hundred eleven million, fourteen thousand, one hundred forty-four".