2138035910656 has 192 divisors, whose sum is σ = 4703413478400. Its totient is φ = 967127040000.

The previous prime is 2138035910651. The next prime is 2138035910671. The reversal of 2138035910656 is 6560195308312.

It is a happy number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2138035910651) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 672125386 + ... + 672128566.

It is an arithmetic number, because the mean of its divisors is an integer number (24496945200).

Almost surely, 2^{2138035910656} 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 2138035910656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2351706739200).

2138035910656 is an abundant number, since it is smaller than the sum of its proper divisors (2565377567744).

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

2138035910656 is a wasteful number, since it uses less digits than its factorization.

2138035910656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3996 (or 3976 counting only the distinct ones).

The product of its (nonzero) digits is 1166400, while the sum is 49.

The spelling of 2138035910656 in words is "two trillion, one hundred thirty-eight billion, thirty-five million, nine hundred ten thousand, six hundred fifty-six".