2111833648704 has 448 divisors, whose sum is σ = 6214572564480. Its totient is φ = 628925644800.

The previous prime is 2111833648679. The next prime is 2111833648777. The reversal of 2111833648704 is 4078463381112.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 63 ways as a sum of consecutive naturals, for example, 3513866004 + ... + 3513866604.

It is an arithmetic number, because the mean of its divisors is an integer number (13871813760).

Almost surely, 2^{2111833648704} is an apocalyptic number.

2111833648704 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 2111833648704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3107286282240).

2111833648704 is an abundant number, since it is smaller than the sum of its proper divisors (4102738915776).

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

2111833648704 is a wasteful number, since it uses less digits than its factorization.

2111833648704 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1018 (or 1008 counting only the distinct ones).

The product of its (nonzero) digits is 774144, while the sum is 48.

The spelling of 2111833648704 in words is "two trillion, one hundred eleven billion, eight hundred thirty-three million, six hundred forty-eight thousand, seven hundred four".