213145819722 has 96 divisors (see below), whose sum is σ = 531740214720. Its totient is φ = 61025736960.

The previous prime is 213145819721. The next prime is 213145819759. The reversal of 213145819722 is 227918541312.

213145819722 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 458 + 197 + 2 + 2 = 666.

It is a super-2 number, since 2×213145819722² (a number of 23 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (213145819721) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 1327278 + ... + 1479174.

It is an arithmetic number, because the mean of its divisors is an integer number (5538960570).

Almost surely, 2^213145819722 is an apocalyptic number.

213145819722 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 213145819722, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (265870107360).

213145819722 is an abundant number, since it is smaller than the sum of its proper divisors (318594394998).

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

213145819722 is a wasteful number, since it uses less digits than its factorization.

213145819722 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152308 (or 152305 counting only the distinct ones).

The product of its digits is 241920, while the sum is 45.

The spelling of 213145819722 in words is "two hundred thirteen billion, one hundred forty-five million, eight hundred nineteen thousand, seven hundred twenty-two".