16164133128 has 192 divisors, whose sum is σ = 51523879680. Its totient is φ = 4513305600.

The previous prime is 16164133127. The next prime is 16164133133. The reversal of 16164133128 is 82133146161.

16164133128 is a `hidden beast` number, since 1 + 6 + 1 + 641 + 3 + 3 + 1 + 2 + 8 = 666.

It is a super-2 number, since 2×16164133128² (a number of 21 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (36) coincides with the sum of the digits of its distinct prime factors.

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

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

It is a junction number, because it is equal to n+sod(n) for n = 16164133092 and 16164133101.

It is not an unprimeable number, because it can be changed into a prime (16164133121) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 7834225 + ... + 7836287.

It is an arithmetic number, because the mean of its divisors is an integer number (268353540).

Almost surely, 2^16164133128 is an apocalyptic number.

16164133128 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 16164133128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25761939840).

16164133128 is an abundant number, since it is smaller than the sum of its proper divisors (35359746552).

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

16164133128 is a wasteful number, since it uses less digits than its factorization.

16164133128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2860 (or 2853 counting only the distinct ones).

The product of its digits is 20736, while the sum is 36.

Adding to 16164133128 its reverse (82133146161), we get a palindrome (98297279289).

The spelling of 16164133128 in words is "sixteen billion, one hundred sixty-four million, one hundred thirty-three thousand, one hundred twenty-eight".