16483811040 has 480 divisors, whose sum is σ = 60857153280. Its totient is φ = 4196966400.

The previous prime is 16483811023. The next prime is 16483811083. The reversal of 16483811040 is 4011838461.

It is a happy number.

16483811040 is a `hidden beast` number, since 1 + 648 + 3 + 8 + 1 + 1 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (480).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 16483810986 and 16483811004.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 35756410 + ... + 35756870.

It is an arithmetic number, because the mean of its divisors is an integer number (126785736).

Almost surely, 2^16483811040 is an apocalyptic number.

16483811040 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 16483811040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (30428576640).

16483811040 is an abundant number, since it is smaller than the sum of its proper divisors (44373342240).

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

16483811040 is a wasteful number, since it uses less digits than its factorization.

16483811040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 608 (or 591 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 36.

The spelling of 16483811040 in words is "sixteen billion, four hundred eighty-three million, eight hundred eleven thousand, forty".