2138726612736 has 1440 divisors, whose sum is σ = 8096208519168. Its totient is φ = 547510026240.

The previous prime is 2138726612707. The next prime is 2138726612761. The reversal of 2138726612736 is 6372166278312.

It is a happy number.

2138726612736 is a `hidden beast` number, since 2 + 13 + 8 + 7 + 2 + 6 + 612 + 7 + 3 + 6 = 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 an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 5584142401 + ... + 5584142783.

Almost surely, 2^{2138726612736} 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 2138726612736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4048104259584).

2138726612736 is an abundant number, since it is smaller than the sum of its proper divisors (5957481906432).

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

2138726612736 is a wasteful number, since it uses less digits than its factorization.

2138726612736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 539 (or 516 counting only the distinct ones).

The product of its digits is 6096384, while the sum is 54.

The spelling of 2138726612736 in words is "two trillion, one hundred thirty-eight billion, seven hundred twenty-six million, six hundred twelve thousand, seven hundred thirty-six".