213127644248064 has 1152 divisors, whose sum is σ = 792633301125120. Its totient is φ = 55710721769472.

The previous prime is 213127644248027. The next prime is 213127644248107. The reversal of 213127644248064 is 460842446721312.

213127644248064 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 2 + 7 + 64 + 42 + 480 + 64 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

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

It is a self number, because there is not a number n which added to its sum of digits gives 213127644248064.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 5117458089 + ... + 5117499735.

It is an arithmetic number, because the mean of its divisors is an integer number (688049740560).

Almost surely, 2^{213127644248064} is an apocalyptic number.

213127644248064 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 213127644248064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (396316650562560).

213127644248064 is an abundant number, since it is smaller than the sum of its proper divisors (579505656877056).

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

213127644248064 is a wasteful number, since it uses less digits than its factorization.

213127644248064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 41817 (or 41785 counting only the distinct ones).

The product of its (nonzero) digits is 12386304, while the sum is 54.

The spelling of 213127644248064 in words is "two hundred thirteen trillion, one hundred twenty-seven billion, six hundred forty-four million, two hundred forty-eight thousand, sixty-four".