2125188327168 has 108 divisors (see below), whose sum is σ = 6354384342488. Its totient is φ = 708396088320.

The previous prime is 2125188327107. The next prime is 2125188327233. The reversal of 2125188327168 is 8617238815212.

It is a happy number.

2125188327168 is a `hidden beast` number, since 2 + 1 + 251 + 8 + 8 + 327 + 1 + 68 = 666.

It is a tau number, because it is divible by the number of its divisors (108).

It is a super-2 number, since 2×2125188327168² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 17019103 + ... + 17143518.

Almost surely, 2^{2125188327168} is an apocalyptic number.

It is an amenable number.

2125188327168 is an abundant number, since it is smaller than the sum of its proper divisors (4229196015320).

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

2125188327168 is an frugal number, since it uses more digits than its factorization.

2125188327168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 34162652 (or 34162626 counting only the distinct ones).

The product of its digits is 2580480, while the sum is 54.

It can be divided in two parts, 2125188 and 327168, that added together give a square (2452356 = 1566²).

The spelling of 2125188327168 in words is "two trillion, one hundred twenty-five billion, one hundred eighty-eight million, three hundred twenty-seven thousand, one hundred sixty-eight".