213784869888 has 176 divisors, whose sum is σ = 633588422560. Its totient is φ = 71209746432.

The previous prime is 213784869887. The next prime is 213784869913. The reversal of 213784869888 is 888968487312.

213784869888 is a `hidden beast` number, since 2 + 137 + 8 + 486 + 9 + 8 + 8 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213784869887) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 65717670 + ... + 65720922.

Almost surely, 2^213784869888 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 213784869888, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316794211280).

213784869888 is an abundant number, since it is smaller than the sum of its proper divisors (419803552672).

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

213784869888 is a wasteful number, since it uses less digits than its factorization.

213784869888 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5659 (or 5635 counting only the distinct ones).

The product of its digits is 297271296, while the sum is 72.

The spelling of 213784869888 in words is "two hundred thirteen billion, seven hundred eighty-four million, eight hundred sixty-nine thousand, eight hundred eighty-eight".