18801390816 has 240 divisors, whose sum is σ = 60105830400. Its totient is φ = 5730849792.

The previous prime is 18801390793. The next prime is 18801390851. The reversal of 18801390816 is 61809310881.

18801390816 is a `hidden beast` number, since 188 + 0 + 1 + 390 + 81 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 3670305 + ... + 3675423.

It is an arithmetic number, because the mean of its divisors is an integer number (250440960).

Almost surely, 2^18801390816 is an apocalyptic number.

18801390816 is a gapful number since it is divisible by the number (16) 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 18801390816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30052915200).

18801390816 is an abundant number, since it is smaller than the sum of its proper divisors (41304439584).

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

18801390816 is a wasteful number, since it uses less digits than its factorization.

18801390816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 5263 (or 5246 counting only the distinct ones).

The product of its (nonzero) digits is 82944, while the sum is 45.

The spelling of 18801390816 in words is "eighteen billion, eight hundred one million, three hundred ninety thousand, eight hundred sixteen".