18406108790784 has 2304 divisors, whose sum is σ = 70184398924800. Its totient is φ = 4720243507200.

The previous prime is 18406108790761. The next prime is 18406108790819. The reversal of 18406108790784 is 48709780160481.

18406108790784 is a `hidden beast` number, since 1 + 8 + 4 + 0 + 610 + 8 + 7 + 9 + 0 + 7 + 8 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (2304).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 593745444849 + ... + 593745444879.

It is an arithmetic number, because the mean of its divisors is an integer number (30461978700).

Almost surely, 2^{18406108790784} 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 18406108790784, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (35092199462400).

18406108790784 is an abundant number, since it is smaller than the sum of its proper divisors (51778290134016).

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

18406108790784 is a wasteful number, since it uses less digits than its factorization.

18406108790784 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 145 (or 79 counting only the distinct ones).

The product of its (nonzero) digits is 21676032, while the sum is 63.

The spelling of 18406108790784 in words is "eighteen trillion, four hundred six billion, one hundred eight million, seven hundred ninety thousand, seven hundred eighty-four".