201146311842336 has 768 divisors, whose sum is σ = 707427302400000. Its totient is φ = 54363002867712.

The previous prime is 201146311842293. The next prime is 201146311842337. The reversal of 201146311842336 is 633248113641102.

201146311842336 is a `hidden beast` number, since 2 + 0 + 1 + 1 + 4 + 631 + 1 + 8 + 4 + 2 + 3 + 3 + 6 = 666.

201146311842336 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 201146311842291 and 201146311842300.

It is not an unprimeable number, because it can be changed into a prime (201146311842337) by changing a digit.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4746346395 + ... + 4746388773.

It is an arithmetic number, because the mean of its divisors is an integer number (921129300000).

Almost surely, 2^{201146311842336} 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 201146311842336, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (353713651200000).

201146311842336 is an abundant number, since it is smaller than the sum of its proper divisors (506280990557664).

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

201146311842336 is a wasteful number, since it uses less digits than its factorization.

201146311842336 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 42806 (or 42792 counting only the distinct ones).

The product of its (nonzero) digits is 497664, while the sum is 45.

The spelling of 201146311842336 in words is "two hundred one trillion, one hundred forty-six billion, three hundred eleven million, eight hundred forty-two thousand, three hundred thirty-six".