16806114164736 has 544 divisors, whose sum is σ = 54235082664000. Its totient is φ = 5112386813952.

The previous prime is 16806114164731. The next prime is 16806114164737. The reversal of 16806114164736 is 63746141160861.

It is a happy number.

16806114164736 is a `hidden beast` number, since 1 + 6 + 8 + 0 + 611 + 4 + 16 + 4 + 7 + 3 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (16806114164731) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2047275000 + ... + 2047283208.

Almost surely, 2^{16806114164736} is an apocalyptic number.

16806114164736 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 16806114164736, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27117541332000).

16806114164736 is an abundant number, since it is smaller than the sum of its proper divisors (37428968499264).

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

16806114164736 is an frugal number, since it uses more digits than its factorization.

16806114164736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 8352 (or 8316 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 16806114164736 in words is "sixteen trillion, eight hundred six billion, one hundred fourteen million, one hundred sixty-four thousand, seven hundred thirty-six".