213633864514000 has 960 divisors, whose sum is σ = 645586422324480. Its totient is φ = 67970327040000.

The previous prime is 213633864513991. The next prime is 213633864514001. The reversal of 213633864514000 is 415468336312.

It is a happy number.

It is a super-2 number, since 2×213633864514000² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213633864514001) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 22580469270 + ... + 22580478730.

It is an arithmetic number, because the mean of its divisors is an integer number (672485856588).

Almost surely, 2^{213633864514000} is an apocalyptic number.

213633864514000 is a gapful number since it is divisible by the number (20) 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 213633864514000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (322793211162240).

213633864514000 is an abundant number, since it is smaller than the sum of its proper divisors (431952557810480).

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

213633864514000 is a wasteful number, since it uses less digits than its factorization.

213633864514000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9765 (or 9742 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 46.

The spelling of 213633864514000 in words is "two hundred thirteen trillion, six hundred thirty-three billion, eight hundred sixty-four million, five hundred fourteen thousand".