18471664117296 has 960 divisors, whose sum is σ = 63701018873856. Its totient is φ = 5127531724800.

The previous prime is 18471664117243. The next prime is 18471664117297. The reversal of 18471664117296 is 69271146617481.

It is a happy number.

18471664117296 is a `hidden beast` number, since 1 + 8 + 4 + 7 + 1 + 66 + 411 + 72 + 96 = 666.

It is a super-2 number, since 2×18471664117296² (a number of 27 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (18471664117297) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2850122376 + ... + 2850128856.

Almost surely, 2^{18471664117296} is an apocalyptic number.

18471664117296 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 18471664117296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31850509436928).

18471664117296 is an abundant number, since it is smaller than the sum of its proper divisors (45229354756560).

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

18471664117296 is a wasteful number, since it uses less digits than its factorization.

18471664117296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6672 (or 6654 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 63.

The spelling of 18471664117296 in words is "eighteen trillion, four hundred seventy-one billion, six hundred sixty-four million, one hundred seventeen thousand, two hundred ninety-six".