12835674173088 has 864 divisors, whose sum is σ = 42191905444416. Its totient is φ = 3835275485184.

The previous prime is 12835674173087. The next prime is 12835674173129. The reversal of 12835674173088 is 88037147653821.

It is a happy number.

12835674173088 is a `hidden beast` number, since 1 + 2 + 83 + 5 + 67 + 417 + 3 + 0 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (864).

It is not an unprimeable number, because it can be changed into a prime (12835674173087) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 6427477306 + ... + 6427479302.

It is an arithmetic number, because the mean of its divisors is an integer number (48833223894).

Almost surely, 2^{12835674173088} is an apocalyptic number.

12835674173088 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 12835674173088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21095952722208).

12835674173088 is an abundant number, since it is smaller than the sum of its proper divisors (29356231271328).

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

12835674173088 is a wasteful number, since it uses less digits than its factorization.

12835674173088 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2188 (or 2155 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 12835674173088 in words is "twelve trillion, eight hundred thirty-five billion, six hundred seventy-four million, one hundred seventy-three thousand, eighty-eight".