2138718734784 has 224 divisors, whose sum is σ = 6621735296000. Its totient is φ = 675039909888.

The previous prime is 2138718734759. The next prime is 2138718734791. The reversal of 2138718734784 is 4874378178312.

2138718734784 is a `hidden beast` number, since 2 + 1 + 3 + 87 + 1 + 87 + 3 + 478 + 4 = 666.

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 31 ways as a sum of consecutive naturals, for example, 68570457 + ... + 68601639.

Almost surely, 2^{2138718734784} is an apocalyptic number.

2138718734784 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 2138718734784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3310867648000).

2138718734784 is an abundant number, since it is smaller than the sum of its proper divisors (4483016561216).

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

2138718734784 is a wasteful number, since it uses less digits than its factorization.

2138718734784 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33312 (or 33296 counting only the distinct ones).

The product of its digits is 50577408, while the sum is 63.

The spelling of 2138718734784 in words is "two trillion, one hundred thirty-eight billion, seven hundred eighteen million, seven hundred thirty-four thousand, seven hundred eighty-four".