213118602048 has 672 divisors, whose sum is σ = 725784883200. Its totient is φ = 59112345600.

The previous prime is 213118602043. The next prime is 213118602091. The reversal of 213118602048 is 840206811312.

213118602048 is a `hidden beast` number, since 2 + 1 + 3 + 1 + 1 + 8 + 602 + 0 + 48 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (213118602043) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 891709513 + ... + 891709751.

Almost surely, 2^213118602048 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 213118602048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (362892441600).

213118602048 is an abundant number, since it is smaller than the sum of its proper divisors (512666281152).

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

213118602048 is a wasteful number, since it uses less digits than its factorization.

213118602048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 518 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 213118602048 in words is "two hundred thirteen billion, one hundred eighteen million, six hundred two thousand, forty-eight".