213851364784128 has 144 divisors (see below), whose sum is σ = 619075070359200. Its totient is φ = 71118393999360.

The previous prime is 213851364784097. The next prime is 213851364784147. The reversal of 213851364784128 is 821487463158312.

213851364784128 is a `hidden beast` number, since 2 + 1 + 3 + 8 + 5 + 1 + 36 + 478 + 4 + 128 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5515413 + ... + 21403796.

It is an arithmetic number, because the mean of its divisors is an integer number (4299132433050).

Almost surely, 2^{213851364784128} is an apocalyptic number.

It is an amenable number.

213851364784128 is an abundant number, since it is smaller than the sum of its proper divisors (405223705575072).

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

213851364784128 is a wasteful number, since it uses less digits than its factorization.

213851364784128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26919668 (or 26919645 counting only the distinct ones).

The product of its digits is 61931520, while the sum is 63.

The spelling of 213851364784128 in words is "two hundred thirteen trillion, eight hundred fifty-one billion, three hundred sixty-four million, seven hundred eighty-four thousand, one hundred twenty-eight".