16124117328 has 120 divisors (see below), whose sum is σ = 49634846976. Its totient is φ = 4886038080.

The previous prime is 16124117323. The next prime is 16124117351. The reversal of 16124117328 is 82371142161.

16124117328 is a `hidden beast` number, since 1 + 612 + 4 + 1 + 1 + 7 + 32 + 8 = 666.

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 = 16124117292 and 16124117301.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16124117323) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 149601 + ... + 233727.

Almost surely, 2^16124117328 is an apocalyptic number.

16124117328 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 16124117328, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24817423488).

16124117328 is an abundant number, since it is smaller than the sum of its proper divisors (33510729648).

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

16124117328 is a wasteful number, since it uses less digits than its factorization.

16124117328 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 84174 (or 84143 counting only the distinct ones).

The product of its digits is 16128, while the sum is 36.

Adding to 16124117328 its reverse (82371142161), we get a palindrome (98495259489).

The spelling of 16124117328 in words is "sixteen billion, one hundred twenty-four million, one hundred seventeen thousand, three hundred twenty-eight".