201314400144512 has 32 divisors (see below), whose sum is σ = 422164243729200. Its totient is φ = 95359452698880.

The previous prime is 201314400144503. The next prime is 201314400144541. The reversal of 201314400144512 is 215441004413102.

It is a tau number, because it is divible by the number of its divisors (32).

It is a super-3 number, since 3×201314400144512³ (a number of 44 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 41388648914 + ... + 41388653777.

Almost surely, 2^{201314400144512} is an apocalyptic number.

It is an amenable number.

201314400144512 is an abundant number, since it is smaller than the sum of its proper divisors (220849843584688).

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

201314400144512 is an equidigital number, since it uses as much as digits as its factorization.

201314400144512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 82777302724 (or 82777302712 counting only the distinct ones).

The product of its (nonzero) digits is 15360, while the sum is 32.

Adding to 201314400144512 its reverse (215441004413102), we get a palindrome (416755404557614).

The spelling of 201314400144512 in words is "two hundred one trillion, three hundred fourteen billion, four hundred million, one hundred forty-four thousand, five hundred twelve".