202314323413202 has 384 divisors, whose sum is σ = 421509777260544. Its totient is φ = 70846332480000.

The previous prime is 202314323413199. The next prime is 202314323413327.

202314323413202 is nontrivially palindromic in base 10.

202314323413202 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

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 191 ways as a sum of consecutive naturals, for example, 73116848423 + ... + 73116851189.

It is an arithmetic number, because the mean of its divisors is an integer number (1097681711616).

Almost surely, 2^{202314323413202} is an apocalyptic number.

202314323413202 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

202314323413202 is an abundant number, since it is smaller than the sum of its proper divisors (219195453847342).

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

202314323413202 is a wasteful number, since it uses less digits than its factorization.

202314323413202 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3446 (or 3435 counting only the distinct ones).

The product of its (nonzero) digits is 41472, while the sum is 32.

The spelling of 202314323413202 in words is "two hundred two trillion, three hundred fourteen billion, three hundred twenty-three million, four hundred thirteen thousand, two hundred two".