18691484168448 has 1728 divisors, whose sum is σ = 72684911050752. Its totient is φ = 4657776721920.

The previous prime is 18691484168429. The next prime is 18691484168473. The reversal of 18691484168448 is 84486148419681.

18691484168448 is a `hidden beast` number, since 1 + 8 + 6 + 9 + 14 + 8 + 4 + 168 + 448 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 7546015786 + ... + 7546018262.

Almost surely, 2^{18691484168448} is an apocalyptic number.

18691484168448 is a gapful number since it is divisible by the number (18) 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 18691484168448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36342455525376).

18691484168448 is an abundant number, since it is smaller than the sum of its proper divisors (53993426882304).

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

18691484168448 is a wasteful number, since it uses less digits than its factorization.

18691484168448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2602 (or 2576 counting only the distinct ones).

The product of its digits is 339738624, while the sum is 72.

The spelling of 18691484168448 in words is "eighteen trillion, six hundred ninety-one billion, four hundred eighty-four million, one hundred sixty-eight thousand, four hundred forty-eight".