16938554112 has 504 divisors, whose sum is σ = 56701254960. Its totient is φ = 5016453120.

The previous prime is 16938554107. The next prime is 16938554123. The reversal of 16938554112 is 21145583961.

It is a happy number.

16938554112 is a `hidden beast` number, since 1 + 6 + 93 + 8 + 5 + 541 + 12 = 666.

16938554112 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 60279412 + ... + 60279692.

It is an arithmetic number, because the mean of its divisors is an integer number (112502490).

Almost surely, 2^16938554112 is an apocalyptic number.

16938554112 is a gapful number since it is divisible by the number (12) 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 16938554112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28350627480).

16938554112 is an abundant number, since it is smaller than the sum of its proper divisors (39762700848).

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

16938554112 is an equidigital number, since it uses as much as digits as its factorization.

16938554112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 351 (or 322 counting only the distinct ones).

The product of its digits is 259200, while the sum is 45.

The spelling of 16938554112 in words is "sixteen billion, nine hundred thirty-eight million, five hundred fifty-four thousand, one hundred twelve".