211814834352 has 320 divisors, whose sum is σ = 658709839872. Its totient is φ = 57961728000.

The previous prime is 211814834347. The next prime is 211814834411. The reversal of 211814834352 is 253438418112.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 15428163 + ... + 15441885.

Almost surely, 2^211814834352 is an apocalyptic number.

211814834352 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 211814834352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (329354919936).

211814834352 is an abundant number, since it is smaller than the sum of its proper divisors (446895005520).

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

211814834352 is a wasteful number, since it uses less digits than its factorization.

211814834352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13840 (or 13834 counting only the distinct ones).

The product of its digits is 184320, while the sum is 42.

The spelling of 211814834352 in words is "two hundred eleven billion, eight hundred fourteen million, eight hundred thirty-four thousand, three hundred fifty-two".