213214105415024 has 60 divisors (see below), whose sum is σ = 480592794780000. Its totient is φ = 91368881259264.

The previous prime is 213214105415021. The next prime is 213214105415027. The reversal of 213214105415024 is 420514501412312.

It is an interprime number because it is at equal distance from previous prime (213214105415021) and next prime (213214105415027).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213214105415021) by changing a digit.

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 11 ways as a sum of consecutive naturals, for example, 4440149 + ... + 21122100.

It is an arithmetic number, because the mean of its divisors is an integer number (8009879913000).

Almost surely, 2^{213214105415024} is an apocalyptic number.

It is an amenable number.

213214105415024 is an abundant number, since it is smaller than the sum of its proper divisors (267378689364976).

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

213214105415024 is a wasteful number, since it uses less digits than its factorization.

213214105415024 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25572910 (or 25572897 counting only the distinct ones).

The product of its (nonzero) digits is 38400, while the sum is 35.

Adding to 213214105415024 its reverse (420514501412312), we get a palindrome (633728606827336).

The spelling of 213214105415024 in words is "two hundred thirteen trillion, two hundred fourteen billion, one hundred five million, four hundred fifteen thousand, twenty-four".