213063837253632 has 1792 divisors, whose sum is σ = 702388770693120. Its totient is φ = 64400938500096.

The previous prime is 213063837253601. The next prime is 213063837253633. The reversal of 213063837253632 is 236352738360312.

213063837253632 is a `hidden beast` number, since 2 + 1 + 3 + 0 + 6 + 3 + 8 + 3 + 72 + 536 + 32 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213063837253633) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 955443216273 + ... + 955443216495.

It is an arithmetic number, because the mean of its divisors is an integer number (391958019360).

Almost surely, 2^{213063837253632} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 213063837253632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (351194385346560).

213063837253632 is an abundant number, since it is smaller than the sum of its proper divisors (489324933439488).

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

213063837253632 is an frugal number, since it uses more digits than its factorization.

213063837253632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 378 (or 335 counting only the distinct ones).

The product of its (nonzero) digits is 19595520, while the sum is 54.

The spelling of 213063837253632 in words is "two hundred thirteen trillion, sixty-three billion, eight hundred thirty-seven million, two hundred fifty-three thousand, six hundred thirty-two".