2108408144832 has 336 divisors, whose sum is σ = 6951320737920. Its totient is φ = 604276070400.

The previous prime is 2108408144831. The next prime is 2108408144863. The reversal of 2108408144832 is 2384418048012.

2108408144832 is a `hidden beast` number, since 2 + 10 + 84 + 0 + 81 + 4 + 483 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (2108408144831) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 73781107 + ... + 73809677.

Almost surely, 2^{2108408144832} is an apocalyptic number.

2108408144832 is a gapful number since it is divisible by the number (22) 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 2108408144832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3475660368960).

2108408144832 is an abundant number, since it is smaller than the sum of its proper divisors (4842912593088).

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

2108408144832 is a wasteful number, since it uses less digits than its factorization.

2108408144832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 29232 (or 29219 counting only the distinct ones).

The product of its (nonzero) digits is 393216, while the sum is 45.

The spelling of 2108408144832 in words is "two trillion, one hundred eight billion, four hundred eight million, one hundred forty-four thousand, eight hundred thirty-two".