12355143236832 has 288 divisors, whose sum is σ = 36128656392192. Its totient is φ = 3693900672000.

The previous prime is 12355143236827. The next prime is 12355143236851. The reversal of 12355143236832 is 23863234155321.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 266993857 + ... + 267040127.

It is an arithmetic number, because the mean of its divisors is an integer number (125446723584).

Almost surely, 2^{12355143236832} is an apocalyptic number.

12355143236832 is a gapful number since it is divisible by the number (12) 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 12355143236832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18064328196096).

12355143236832 is an abundant number, since it is smaller than the sum of its proper divisors (23773513155360).

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

12355143236832 is a wasteful number, since it uses less digits than its factorization.

12355143236832 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 46614 (or 46595 counting only the distinct ones).

The product of its digits is 3110400, while the sum is 48.

The spelling of 12355143236832 in words is "twelve trillion, three hundred fifty-five billion, one hundred forty-three million, two hundred thirty-six thousand, eight hundred thirty-two".