16411148928 has 48 divisors (see below), whose sum is σ = 47224793850. Its totient is φ = 5470382592.

The previous prime is 16411148921. The next prime is 16411148947. The reversal of 16411148928 is 82984111461.

16411148928 is a `hidden beast` number, since 1 + 6 + 411 + 148 + 92 + 8 = 666.

It can be written as a sum of positive squares in only one way, i.e., 14325217344 + 2085931584 = 119688^2 + 45672^2 .

It is a tau number, because it is divible by the number of its divisors (48).

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

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

It is not an unprimeable number, because it can be changed into a prime (16411148921) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 7121743 + ... + 7124046.

Almost surely, 2^16411148928 is an apocalyptic number.

16411148928 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

16411148928 is an abundant number, since it is smaller than the sum of its proper divisors (30813644922).

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

16411148928 is a wasteful number, since it uses less digits than its factorization.

16411148928 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14245809 (or 14245794 counting only the distinct ones).

The product of its digits is 110592, while the sum is 45.

The spelling of 16411148928 in words is "sixteen billion, four hundred eleven million, one hundred forty-eight thousand, nine hundred twenty-eight".