212161445006304 has 48 divisors (see below), whose sum is σ = 581137871110272. Its totient is φ = 67645678117248.

The previous prime is 212161445006263. The next prime is 212161445006321. The reversal of 212161445006304 is 403600544161212.

It is a tau number, because it is divible by the number of its divisors (48).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 48043803274 + ... + 48043807689.

It is an arithmetic number, because the mean of its divisors is an integer number (12107038981464).

Almost surely, 2^{212161445006304} is an apocalyptic number.

212161445006304 is a gapful number since it is divisible by the number (24) formed by its first and last digit.

It is an amenable number.

212161445006304 is an abundant number, since it is smaller than the sum of its proper divisors (368976426103968).

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

212161445006304 is a wasteful number, since it uses less digits than its factorization.

212161445006304 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96087610999 (or 96087610991 counting only the distinct ones).

The product of its (nonzero) digits is 138240, while the sum is 39.

Adding to 212161445006304 its reverse (403600544161212), we get a palindrome (615761989167516).

The spelling of 212161445006304 in words is "two hundred twelve trillion, one hundred sixty-one billion, four hundred forty-five million, six thousand, three hundred four".