213197266944 has 168 divisors, whose sum is σ = 638681425200. Its totient is φ = 71065092096.

The previous prime is 213197266937. The next prime is 213197266963. The reversal of 213197266944 is 449662791312.

213197266944 is a `hidden beast` number, since 21 + 319 + 7 + 266 + 9 + 44 = 666.

213197266944 is digitally balanced in base 7, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 1937107 + ... + 2044205.

It is an arithmetic number, because the mean of its divisors is an integer number (3801675150).

Almost surely, 2^213197266944 is an apocalyptic number.

213197266944 is a gapful number since it is divisible by the number (24) 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 213197266944, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (319340712600).

213197266944 is an abundant number, since it is smaller than the sum of its proper divisors (425484158256).

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

213197266944 is an frugal number, since it uses more digits than its factorization.

213197266944 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 107140 (or 107104 counting only the distinct ones).

The product of its digits is 3919104, while the sum is 54.

The spelling of 213197266944 in words is "two hundred thirteen billion, one hundred ninety-seven million, two hundred sixty-six thousand, nine hundred forty-four".