18919586016 has 120 divisors (see below), whose sum is σ = 56049174720. Its totient is φ = 6260378112.

The previous prime is 18919585981. The next prime is 18919586041. The reversal of 18919586016 is 61068591981.

18919586016 is a `hidden beast` number, since 18 + 9 + 19 + 5 + 8 + 601 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 328465 + ... + 381743.

It is an arithmetic number, because the mean of its divisors is an integer number (467076456).

Almost surely, 2^18919586016 is an apocalyptic number.

18919586016 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 18919586016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28024587360).

18919586016 is an abundant number, since it is smaller than the sum of its proper divisors (37129588704).

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

18919586016 is a wasteful number, since it uses less digits than its factorization.

18919586016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 53438 (or 53421 counting only the distinct ones).

The product of its (nonzero) digits is 933120, while the sum is 54.

The spelling of 18919586016 in words is "eighteen billion, nine hundred nineteen million, five hundred eighty-six thousand, sixteen".