17946853056 has 168 divisors, whose sum is σ = 56196738000. Its totient is φ = 5430804480.

The previous prime is 17946853051. The next prime is 17946853073. The reversal of 17946853056 is 65035864971.

17946853056 is a `hidden beast` number, since 17 + 9 + 46 + 8 + 530 + 56 = 666.

It is a super-2 number, since 2×17946853056² (a number of 21 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 17946852993 and 17946853011.

It is not an unprimeable number, because it can be changed into a prime (17946853051) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5884620 + ... + 5887668.

Almost surely, 2^17946853056 is an apocalyptic number.

17946853056 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 17946853056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (28098369000).

17946853056 is an abundant number, since it is smaller than the sum of its proper divisors (38249884944).

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

17946853056 is a wasteful number, since it uses less digits than its factorization.

17946853056 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4007 (or 3994 counting only the distinct ones).

The product of its (nonzero) digits is 5443200, while the sum is 54.

The spelling of 17946853056 in words is "seventeen billion, nine hundred forty-six million, eight hundred fifty-three thousand, fifty-six".