213824475753864 has 64 divisors (see below), whose sum is σ = 553227570648000. Its totient is φ = 68788047632640.

The previous prime is 213824475753841. The next prime is 213824475753943. The reversal of 213824475753864 is 468357574428312.

It is a super-2 number, since 2×213824475753864² (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 15 ways as a sum of consecutive naturals, for example, 63136599 + ... + 66437030.

It is an arithmetic number, because the mean of its divisors is an integer number (8644180791375).

Almost surely, 2^{213824475753864} is an apocalyptic number.

213824475753864 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

213824475753864 is an abundant number, since it is smaller than the sum of its proper divisors (339403094894136).

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

213824475753864 is a wasteful number, since it uses less digits than its factorization.

213824475753864 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 129576038 (or 129576034 counting only the distinct ones).

The product of its digits is 1083801600, while the sum is 69.

The spelling of 213824475753864 in words is "two hundred thirteen trillion, eight hundred twenty-four billion, four hundred seventy-five million, seven hundred fifty-three thousand, eight hundred sixty-four".