16129344672 has 288 divisors, whose sum is σ = 54620721792. Its totient is φ = 4586471424.

The previous prime is 16129344659. The next prime is 16129344719. The reversal of 16129344672 is 27644392161.

16129344672 is a `hidden beast` number, since 16 + 129 + 3 + 446 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 13988448 + ... + 13989600.

It is an arithmetic number, because the mean of its divisors is an integer number (189655284).

Almost surely, 2^16129344672 is an apocalyptic number.

16129344672 is a gapful number since it is divisible by the number (12) 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 16129344672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27310360896).

16129344672 is an abundant number, since it is smaller than the sum of its proper divisors (38491377120).

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

16129344672 is a wasteful number, since it uses less digits than its factorization.

16129344672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1442 (or 1422 counting only the distinct ones).

The product of its digits is 435456, while the sum is 45.

The spelling of 16129344672 in words is "sixteen billion, one hundred twenty-nine million, three hundred forty-four thousand, six hundred seventy-two".