16116123744 has 192 divisors, whose sum is σ = 55173081600. Its totient is φ = 4480095744.

The previous prime is 16116123721. The next prime is 16116123761. The reversal of 16116123744 is 44732161161.

16116123744 is a `hidden beast` number, since 1 + 6 + 1 + 1 + 612 + 37 + 4 + 4 = 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 junction number, because it is equal to n+sod(n) for n = 16116123699 and 16116123708.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 187767 + ... + 259785.

It is an arithmetic number, because the mean of its divisors is an integer number (287359800).

Almost surely, 2^16116123744 is an apocalyptic number.

16116123744 is a gapful number since it is divisible by the number (14) 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 16116123744, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27586540800).

16116123744 is an abundant number, since it is smaller than the sum of its proper divisors (39056957856).

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

16116123744 is a wasteful number, since it uses less digits than its factorization.

16116123744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 72082 (or 72068 counting only the distinct ones).

The product of its digits is 24192, while the sum is 36.

The spelling of 16116123744 in words is "sixteen billion, one hundred sixteen million, one hundred twenty-three thousand, seven hundred forty-four".