213962269312 has 32 divisors (see below), whose sum is σ = 465003230400. Its totient is φ = 97255576320.

The previous prime is 213962269309. The next prime is 213962269357.

213962269312 is nontrivially palindromic in base 10.

It is a tau number, because it is divible by the number of its divisors (32).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 75979512 + ... + 75982327.

It is an arithmetic number, because the mean of its divisors is an integer number (14531350950).

Almost surely, 2^213962269312 is an apocalyptic number.

213962269312 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

213962269312 is an abundant number, since it is smaller than the sum of its proper divisors (251040961088).

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

213962269312 is a wasteful number, since it uses less digits than its factorization.

213962269312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 151961864 (or 151961852 counting only the distinct ones).

The product of its digits is 419904, while the sum is 46.

The spelling of 213962269312 in words is "two hundred thirteen billion, nine hundred sixty-two million, two hundred sixty-nine thousand, three hundred twelve".