13482190891008 has 288 divisors, whose sum is σ = 44821979092800. Its totient is φ = 3824336830464.

The previous prime is 13482190890989. The next prime is 13482190891009. The reversal of 13482190891008 is 80019809128431.

It is a happy number.

13482190891008 is a `hidden beast` number, since 1 + 348 + 2 + 190 + 8 + 9 + 100 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is not an unprimeable number, because it can be changed into a prime (13482190891009) 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, 17558460 + ... + 18310212.

It is an arithmetic number, because the mean of its divisors is an integer number (155631871850).

Almost surely, 2^{13482190891008} is an apocalyptic number.

13482190891008 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 13482190891008, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (22410989546400).

13482190891008 is an abundant number, since it is smaller than the sum of its proper divisors (31339788201792).

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

13482190891008 is a wasteful number, since it uses less digits than its factorization.

13482190891008 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 751927 (or 751904 counting only the distinct ones).

The product of its (nonzero) digits is 995328, while the sum is 54.

The spelling of 13482190891008 in words is "thirteen trillion, four hundred eighty-two billion, one hundred ninety million, eight hundred ninety-one thousand, eight".