16134717312 has 768 divisors, whose sum is σ = 59744256000. Its totient is φ = 4075868160.

The previous prime is 16134717301. The next prime is 16134717353. The reversal of 16134717312 is 21371743161.

It is a happy number.

16134717312 is a `hidden beast` number, since 1 + 613 + 4 + 7 + 1 + 7 + 31 + 2 = 666.

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 congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 204236889 + ... + 204236967.

It is an arithmetic number, because the mean of its divisors is an integer number (77792000).

Almost surely, 2^16134717312 is an apocalyptic number.

16134717312 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 16134717312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29872128000).

16134717312 is an abundant number, since it is smaller than the sum of its proper divisors (43609538688).

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

16134717312 is a wasteful number, since it uses less digits than its factorization.

16134717312 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 199 (or 184 counting only the distinct ones).

The product of its digits is 21168, while the sum is 36.

The spelling of 16134717312 in words is "sixteen billion, one hundred thirty-four million, seven hundred seventeen thousand, three hundred twelve".