18832138416 has 960 divisors, whose sum is σ = 74251247616. Its totient is φ = 4478976000.

The previous prime is 18832138411. The next prime is 18832138469. The reversal of 18832138416 is 61483123881.

18832138416 is a `hidden beast` number, since 18 + 8 + 3 + 213 + 8 + 416 = 666.

It is a nude number because it is divisible by every one of its digits.

Its product of digits (221184) is a multiple of the sum of its prime factors (192).

It is not an unprimeable number, because it can be changed into a prime (18832138411) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 186456766 + ... + 186456866.

Almost surely, 2^18832138416 is an apocalyptic number.

18832138416 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 18832138416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (37125623808).

18832138416 is an abundant number, since it is smaller than the sum of its proper divisors (55419109200).

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

18832138416 is a wasteful number, since it uses less digits than its factorization.

18832138416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 192 (or 174 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The spelling of 18832138416 in words is "eighteen billion, eight hundred thirty-two million, one hundred thirty-eight thousand, four hundred sixteen".