213719917312 has 72 divisors (see below), whose sum is σ = 467386068240. Its totient is φ = 96728186880.

The previous prime is 213719917241. The next prime is 213719917321.

213719917312 is nontrivially palindromic in base 10.

It is an unprimeable number.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 493264 + ... + 818992.

It is an arithmetic number, because the mean of its divisors is an integer number (6491473170).

Almost surely, 2^213719917312 is an apocalyptic number.

213719917312 is a gapful number since it is divisible by the number (22) 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 213719917312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (233693034120).

213719917312 is an abundant number, since it is smaller than the sum of its proper divisors (253666150928).

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

213719917312 is a wasteful number, since it uses less digits than its factorization.

213719917312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 325989 (or 325975 counting only the distinct ones).

The product of its digits is 142884, while the sum is 46.

The spelling of 213719917312 in words is "two hundred thirteen billion, seven hundred nineteen million, nine hundred seventeen thousand, three hundred twelve".