213263453664 has 120 divisors (see below), whose sum is σ = 628223138928. Its totient is φ = 70972070400.

The previous prime is 213263453639. The next prime is 213263453671. The reversal of 213263453664 is 466354362312.

213263453664 is a `hidden beast` number, since 2 + 1 + 3 + 2 + 634 + 5 + 3 + 6 + 6 + 4 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 1532589 + ... + 1665939.

Almost surely, 2^213263453664 is an apocalyptic number.

213263453664 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 213263453664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (314111569464).

213263453664 is an abundant number, since it is smaller than the sum of its proper divisors (414959685264).

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

213263453664 is a wasteful number, since it uses less digits than its factorization.

213263453664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 133990 (or 133973 counting only the distinct ones).

The product of its digits is 1866240, while the sum is 45.

The spelling of 213263453664 in words is "two hundred thirteen billion, two hundred sixty-three million, four hundred fifty-three thousand, six hundred sixty-four".