16615041408 has 512 divisors, whose sum is σ = 58079616000. Its totient is φ = 4635740160.

The previous prime is 16615041353. The next prime is 16615041413. The reversal of 16615041408 is 80414051661.

16615041408 is a `hidden beast` number, since 1 + 6 + 6 + 1 + 504 + 140 + 8 = 666.

16615041408 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 119532603 + ... + 119532741.

It is an arithmetic number, because the mean of its divisors is an integer number (113436750).

Almost surely, 2^16615041408 is an apocalyptic number.

16615041408 is a gapful number since it is divisible by the number (18) 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 16615041408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29039808000).

16615041408 is an abundant number, since it is smaller than the sum of its proper divisors (41464574592).

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

16615041408 is an frugal number, since it uses more digits than its factorization.

16615041408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 242 (or 212 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 16615041408 in words is "sixteen billion, six hundred fifteen million, forty-one thousand, four hundred eight".