16234428672 has 864 divisors, whose sum is σ = 62634700800. Its totient is φ = 4057067520.

The previous prime is 16234428671. The next prime is 16234428677. The reversal of 16234428672 is 27682443261.

It is a happy number.

16234428672 is a `hidden beast` number, since 1 + 62 + 3 + 442 + 86 + 72 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

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 (16234428671) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 275159779 + ... + 275159837.

Almost surely, 2^16234428672 is an apocalyptic number.

16234428672 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 16234428672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31317350400).

16234428672 is an abundant number, since it is smaller than the sum of its proper divisors (46400272128).

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

16234428672 is a wasteful number, since it uses less digits than its factorization.

16234428672 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 160 (or 129 counting only the distinct ones).

The product of its digits is 774144, while the sum is 45.

The spelling of 16234428672 in words is "sixteen billion, two hundred thirty-four million, four hundred twenty-eight thousand, six hundred seventy-two".