213850793415168 has 720 divisors, whose sum is σ = 778302420831936. Its totient is φ = 56026581811200.

The previous prime is 213850793415121. The next prime is 213850793415173. The reversal of 213850793415168 is 861514397058312.

213850793415168 is a `hidden beast` number, since 2 + 1 + 3 + 8 + 5 + 0 + 79 + 3 + 41 + 516 + 8 = 666.

It is a super-2 number, since 2×213850793415168² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 442988455 + ... + 443470937.

It is a 1-persistent number, because it is pandigital, but 2⋅213850793415168 = 427701586830336 is not.

Almost surely, 2^{213850793415168} is an apocalyptic number.

213850793415168 is a gapful number since it is divisible by the number (28) 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 213850793415168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (389151210415968).

213850793415168 is an abundant number, since it is smaller than the sum of its proper divisors (564451627416768).

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

213850793415168 is a wasteful number, since it uses less digits than its factorization.

213850793415168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 482685 (or 482659 counting only the distinct ones).

The product of its (nonzero) digits is 43545600, while the sum is 63.

The spelling of 213850793415168 in words is "two hundred thirteen trillion, eight hundred fifty billion, seven hundred ninety-three million, four hundred fifteen thousand, one hundred sixty-eight".