16482048000 has 384 divisors, whose sum is σ = 59854878720. Its totient is φ = 3993600000.

The previous prime is 16482047993. The next prime is 16482048019. The reversal of 16482048000 is 84028461.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8447025 + ... + 8448975.

It is an arithmetic number, because the mean of its divisors is an integer number (155872080).

Almost surely, 2^16482048000 is an apocalyptic number.

16482048000 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 16482048000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29927439360).

16482048000 is an abundant number, since it is smaller than the sum of its proper divisors (43372830720).

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

16482048000 is a wasteful number, since it uses less digits than its factorization.

16482048000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2002 (or 1972 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 33.

The spelling of 16482048000 in words is "sixteen billion, four hundred eighty-two million, forty-eight thousand".