16281746712 has 256 divisors, whose sum is σ = 56510438400. Its totient is φ = 4219776000.

The previous prime is 16281746683. The next prime is 16281746729. The reversal of 16281746712 is 21764718261.

16281746712 is a `hidden beast` number, since 1 + 628 + 1 + 7 + 4 + 6 + 7 + 12 = 666.

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 63 ways as a sum of consecutive naturals, for example, 10993012 + ... + 10994492.

It is an arithmetic number, because the mean of its divisors is an integer number (220743900).

Almost surely, 2^16281746712 is an apocalyptic number.

16281746712 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 16281746712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28255219200).

16281746712 is an abundant number, since it is smaller than the sum of its proper divisors (40228691688).

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

16281746712 is a wasteful number, since it uses less digits than its factorization.

16281746712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2175 (or 2165 counting only the distinct ones).

The product of its digits is 225792, while the sum is 45.

The spelling of 16281746712 in words is "sixteen billion, two hundred eighty-one million, seven hundred forty-six thousand, seven hundred twelve".