2138991091776 has 896 divisors, whose sum is σ = 8217017856000. Its totient is φ = 540505405440.

The previous prime is 2138991091733. The next prime is 2138991091781. The reversal of 2138991091776 is 6771901998312.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 241226095 + ... + 241234961.

Almost surely, 2^{2138991091776} 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 2138991091776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4108508928000).

2138991091776 is an abundant number, since it is smaller than the sum of its proper divisors (6078026764224).

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

2138991091776 is a wasteful number, since it uses less digits than its factorization.

2138991091776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8957 (or 8927 counting only the distinct ones).

The product of its (nonzero) digits is 10287648, while the sum is 63.

The spelling of 2138991091776 in words is "two trillion, one hundred thirty-eight billion, nine hundred ninety-one million, ninety-one thousand, seven hundred seventy-six".