16348336128 has 156 divisors (see below), whose sum is σ = 47422842948. Its totient is φ = 5426380800.

The previous prime is 16348336097. The next prime is 16348336163. The reversal of 16348336128 is 82163384361.

16348336128 is a `hidden beast` number, since 1 + 634 + 8 + 3 + 3 + 6 + 1 + 2 + 8 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11191947264 + 5156388864 = 105792^2 + 71808^2 .

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 10210528 + ... + 10212128.

It is an arithmetic number, because the mean of its divisors is an integer number (303992583).

Almost surely, 2^16348336128 is an apocalyptic number.

16348336128 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 16348336128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23711421474).

16348336128 is an abundant number, since it is smaller than the sum of its proper divisors (31074506820).

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

16348336128 is a wasteful number, since it uses less digits than its factorization.

16348336128 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1908 (or 1883 counting only the distinct ones).

The product of its digits is 497664, while the sum is 45.

It can be divided in two parts, 1634833 and 6128, that added together give a square (1640961 = 1281²).

The spelling of 16348336128 in words is "sixteen billion, three hundred forty-eight million, three hundred thirty-six thousand, one hundred twenty-eight".