202014113114304 has 168 divisors, whose sum is σ = 583841649911520. Its totient is φ = 66780771840000.

The previous prime is 202014113114299. The next prime is 202014113114311. The reversal of 202014113114304 is 403411311410202.

It is a happy number.

202014113114304 is a `hidden beast` number, since 2 + 0 + 2 + 0 + 1 + 41 + 1 + 311 + 4 + 304 = 666.

It is a super-2 number, since 2×202014113114304² (a number of 29 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 50340262 + ... + 54204890.

It is an arithmetic number, because the mean of its divisors is an integer number (3475247916140).

Almost surely, 2^{202014113114304} is an apocalyptic number.

202014113114304 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 202014113114304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (291920824955760).

202014113114304 is an abundant number, since it is smaller than the sum of its proper divisors (381827536797216).

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

202014113114304 is a wasteful number, since it uses less digits than its factorization.

202014113114304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3865399 (or 3865386 counting only the distinct ones).

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

Adding to 202014113114304 its reverse (403411311410202), we get a palindrome (605425424524506).

The spelling of 202014113114304 in words is "two hundred two trillion, fourteen billion, one hundred thirteen million, one hundred fourteen thousand, three hundred four".