19481781166848 has 1728 divisors, whose sum is σ = 82161068774400. Its totient is φ = 4467615989760.

The previous prime is 19481781166843. The next prime is 19481781166873. The reversal of 19481781166848 is 84866118718491.

19481781166848 is a `hidden beast` number, since 1 + 9 + 481 + 7 + 8 + 1 + 1 + 66 + 84 + 8 = 666.

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

It is a super-3 number, since 3×19481781166848³ (a number of 41 digits) contains 333 as substring.

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 not an unprimeable number, because it can be changed into a prime (19481781166843) 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, 1113936088 + ... + 1113953576.

It is an arithmetic number, because the mean of its divisors is an integer number (47546914800).

Almost surely, 2^{19481781166848} is an apocalyptic number.

19481781166848 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 19481781166848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (41080534387200).

19481781166848 is an abundant number, since it is smaller than the sum of its proper divisors (62679287607552).

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

19481781166848 is a wasteful number, since it uses less digits than its factorization.

19481781166848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17575 (or 17548 counting only the distinct ones).

The product of its digits is 148635648, while the sum is 72.

The spelling of 19481781166848 in words is "nineteen trillion, four hundred eighty-one billion, seven hundred eighty-one million, one hundred sixty-six thousand, eight hundred forty-eight".