2138216838912 has 720 divisors, whose sum is σ = 8118432064512. Its totient is φ = 543545303040.

The previous prime is 2138216838907. The next prime is 2138216838913. The reversal of 2138216838912 is 2198386128312.

2138216838912 is a `hidden beast` number, since 2 + 1 + 38 + 216 + 8 + 389 + 12 = 666.

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

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138216838913) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 75029338 + ... + 75057830.

Almost surely, 2^{2138216838912} is an apocalyptic number.

2138216838912 is a gapful number since it is divisible by the number (22) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 2138216838912, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4059216032256).

2138216838912 is an abundant number, since it is smaller than the sum of its proper divisors (5980215225600).

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

2138216838912 is a wasteful number, since it uses less digits than its factorization.

2138216838912 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 28586 (or 28563 counting only the distinct ones).

The product of its digits is 1990656, while the sum is 54.

The spelling of 2138216838912 in words is "two trillion, one hundred thirty-eight billion, two hundred sixteen million, eight hundred thirty-eight thousand, nine hundred twelve".