16938436032 has 378 divisors, whose sum is σ = 58194263088. Its totient is φ = 4694667264.

The previous prime is 16938435973. The next prime is 16938436033. The reversal of 16938436032 is 23063483961.

16938436032 is a `hidden beast` number, since 1 + 6 + 9 + 38 + 4 + 3 + 603 + 2 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16938436033) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 149897608 + ... + 149897720.

Almost surely, 2^16938436032 is an apocalyptic number.

16938436032 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 16938436032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29097131544).

16938436032 is an abundant number, since it is smaller than the sum of its proper divisors (41255827056).

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

16938436032 is a wasteful number, since it uses less digits than its factorization.

16938436032 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 305 (or 172 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 45.

The spelling of 16938436032 in words is "sixteen billion, nine hundred thirty-eight million, four hundred thirty-six thousand, thirty-two".