16123743216 has 360 divisors, whose sum is σ = 55747860480. Its totient is φ = 4325384448.

The previous prime is 16123743127. The next prime is 16123743217. The reversal of 16123743216 is 61234732161.

16123743216 is a `hidden beast` number, since 1 + 612 + 3 + 7 + 4 + 32 + 1 + 6 = 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 not an unprimeable number, because it can be changed into a prime (16123743217) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 17025655 + ... + 17026601.

It is an arithmetic number, because the mean of its divisors is an integer number (154855168).

Almost surely, 2^16123743216 is an apocalyptic number.

16123743216 is a gapful number since it is divisible by the number (16) 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 16123743216, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27873930240).

16123743216 is an abundant number, since it is smaller than the sum of its proper divisors (39624117264).

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

16123743216 is a wasteful number, since it uses less digits than its factorization.

16123743216 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1121 (or 1105 counting only the distinct ones).

The product of its digits is 36288, while the sum is 36.

The spelling of 16123743216 in words is "sixteen billion, one hundred twenty-three million, seven hundred forty-three thousand, two hundred sixteen".