12253174805088 has 576 divisors, whose sum is σ = 43076831616000. Its totient is φ = 3227689783296.

The previous prime is 12253174805087. The next prime is 12253174805119. The reversal of 12253174805088 is 88050847135221.

It is a happy number.

12253174805088 is a `hidden beast` number, since 1 + 2 + 2 + 5 + 31 + 7 + 480 + 50 + 88 = 666.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12253174805083) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 183537538 + ... + 183604286.

It is an arithmetic number, because the mean of its divisors is an integer number (74786166000).

Almost surely, 2^{12253174805088} is an apocalyptic number.

12253174805088 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 12253174805088, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21538415808000).

12253174805088 is an abundant number, since it is smaller than the sum of its proper divisors (30823656810912).

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

12253174805088 is a wasteful number, since it uses less digits than its factorization.

12253174805088 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 66939 (or 66928 counting only the distinct ones).

The product of its (nonzero) digits is 4300800, while the sum is 54.

The spelling of 12253174805088 in words is "twelve trillion, two hundred fifty-three billion, one hundred seventy-four million, eight hundred five thousand, eighty-eight".