211403616413 has 48 divisors (see below), whose sum is σ = 246826910400. Its totient is φ = 179065728000.

The previous prime is 211403616401. The next prime is 211403616421. The reversal of 211403616413 is 314616304112.

It is a happy number.

It is not a de Polignac number, because 211403616413 - 2³⁴ = 194223747229 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 211403616413.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (211403616013) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 488229845 + ... + 488230277.

It is an arithmetic number, because the mean of its divisors is an integer number (5142227300).

Almost surely, 2^211403616413 is an apocalyptic number.

It is an amenable number.

211403616413 is a deficient number, since it is larger than the sum of its proper divisors (35423293987).

211403616413 is a wasteful number, since it uses less digits than its factorization.

211403616413 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 894 (or 793 counting only the distinct ones).

The product of its (nonzero) digits is 10368, while the sum is 32.

The spelling of 211403616413 in words is "two hundred eleven billion, four hundred three million, six hundred sixteen thousand, four hundred thirteen".