16338832000 has 256 divisors, whose sum is σ = 43878931200. Its totient is φ = 6031872000.

The previous prime is 16338831967. The next prime is 16338832009. The reversal of 16338832000 is 23883361.

It is a super-2 number, since 2×16338832000² (a number of 21 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (16338832009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 10671235 + ... + 10672765.

It is an arithmetic number, because the mean of its divisors is an integer number (171402075).

Almost surely, 2^16338832000 is an apocalyptic number.

16338832000 is a gapful number since it is divisible by the number (10) 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 16338832000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21939465600).

16338832000 is an abundant number, since it is smaller than the sum of its proper divisors (27540099200).

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

16338832000 is a wasteful number, since it uses less digits than its factorization.

16338832000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1612 (or 1590 counting only the distinct ones).

The product of its (nonzero) digits is 20736, while the sum is 34.

The spelling of 16338832000 in words is "sixteen billion, three hundred thirty-eight million, eight hundred thirty-two thousand".