2118365872128 has 1080 divisors, whose sum is σ = 7441729115436. Its totient is φ = 597939978240.

The previous prime is 2118365872097. The next prime is 2118365872193. The reversal of 2118365872128 is 8212785638112.

It is a happy number.

2118365872128 is a `hidden beast` number, since 2 + 1 + 1 + 8 + 36 + 587 + 2 + 1 + 28 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 2086892273664 + 31473598464 = 1444608^2 + 177408^2 .

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

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 21838823376 + ... + 21838823472.

Almost surely, 2^{2118365872128} 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 2118365872128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3720864557718).

2118365872128 is an abundant number, since it is smaller than the sum of its proper divisors (5323363243308).

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

2118365872128 is an frugal number, since it uses more digits than its factorization.

2118365872128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 182 (or 130 counting only the distinct ones).

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

The spelling of 2118365872128 in words is "two trillion, one hundred eighteen billion, three hundred sixty-five million, eight hundred seventy-two thousand, one hundred twenty-eight".