17806397081616 has 800 divisors, whose sum is σ = 65599793094528. Its totient is φ = 4578767585280.

The previous prime is 17806397081593. The next prime is 17806397081617. The reversal of 17806397081616 is 61618079360871.

17806397081616 is a `hidden beast` number, since 1 + 7 + 8 + 0 + 6 + 3 + 9 + 7 + 0 + 8 + 1 + 616 = 666.

It is a super-3 number, since 3×17806397081616³ (a number of 41 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (17806397081617) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 135409050 + ... + 135540486.

Almost surely, 2^{17806397081616} is an apocalyptic number.

17806397081616 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 17806397081616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32799896547264).

17806397081616 is an abundant number, since it is smaller than the sum of its proper divisors (47793396012912).

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

17806397081616 is a wasteful number, since it uses less digits than its factorization.

17806397081616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 131541 (or 131526 counting only the distinct ones).

The product of its (nonzero) digits is 18289152, while the sum is 63.

The spelling of 17806397081616 in words is "seventeen trillion, eight hundred six billion, three hundred ninety-seven million, eighty-one thousand, six hundred sixteen".