16449063120 has 320 divisors, whose sum is σ = 65852928000. Its totient is φ = 3695860224.

The previous prime is 16449063119. The next prime is 16449063121. The reversal of 16449063120 is 2136094461.

16449063120 is a `hidden beast` number, since 1 + 644 + 9 + 0 + 6 + 3 + 1 + 2 + 0 = 666.

It is an interprime number because it is at equal distance from previous prime (16449063119) and next prime (16449063121).

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16449063121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 882861 + ... + 901299.

It is an arithmetic number, because the mean of its divisors is an integer number (205790400).

Almost surely, 2^16449063120 is an apocalyptic number.

16449063120 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 16449063120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32926464000).

16449063120 is an abundant number, since it is smaller than the sum of its proper divisors (49403864880).

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

16449063120 is a wasteful number, since it uses less digits than its factorization.

16449063120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18527 (or 18515 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The spelling of 16449063120 in words is "sixteen billion, four hundred forty-nine million, sixty-three thousand, one hundred twenty".