2138653652184 has 288 divisors, whose sum is σ = 7033359060000. Its totient is φ = 574991281152.

The previous prime is 2138653652171. The next prime is 2138653652207. The reversal of 2138653652184 is 4812563568312.

2138653652184 is a `hidden beast` number, since 2 + 1 + 3 + 8 + 6 + 5 + 36 + 521 + 84 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 2138653652184.

It is a congruent number.

It is an unprimeable number.

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 71 ways as a sum of consecutive naturals, for example, 27070212 + ... + 27149100.

It is an arithmetic number, because the mean of its divisors is an integer number (24421385625).

Almost surely, 2^{2138653652184} is an apocalyptic number.

2138653652184 is a gapful number since it is divisible by the number (24) 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 2138653652184, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3516679530000).

2138653652184 is an abundant number, since it is smaller than the sum of its proper divisors (4894705407816).

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

2138653652184 is a wasteful number, since it uses less digits than its factorization.

2138653652184 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 79095 (or 79069 counting only the distinct ones).

The product of its digits is 8294400, while the sum is 54.

The spelling of 2138653652184 in words is "two trillion, one hundred thirty-eight billion, six hundred fifty-three million, six hundred fifty-two thousand, one hundred eighty-four".