213888948192 has 96 divisors (see below), whose sum is σ = 623932646400. Its totient is φ = 71286044544.

The previous prime is 213888948179. The next prime is 213888948209. The reversal of 213888948192 is 291849888312.

213888948192 is a `hidden beast` number, since 2 + 1 + 388 + 8 + 94 + 81 + 92 = 666.

213888948192 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8142183 + ... + 8168409.

It is an arithmetic number, because the mean of its divisors is an integer number (6499298400).

Almost surely, 2^213888948192 is an apocalyptic number.

It is an amenable number.

213888948192 is an abundant number, since it is smaller than the sum of its proper divisors (410043698208).

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

213888948192 is a wasteful number, since it uses less digits than its factorization.

213888948192 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35685 (or 35671 counting only the distinct ones).

The product of its digits is 15925248, while the sum is 63.

The spelling of 213888948192 in words is "two hundred thirteen billion, eight hundred eighty-eight million, nine hundred forty-eight thousand, one hundred ninety-two".