12145553116788 has 384 divisors, whose sum is σ = 35607848177664. Its totient is φ = 3137049907200.

The previous prime is 12145553116777. The next prime is 12145553116799. The reversal of 12145553116788 is 88761135554121.

12145553116788 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is an interprime number because it is at equal distance from previous prime (12145553116777) and next prime (12145553116799).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 7731096043 + ... + 7731097613.

It is an arithmetic number, because the mean of its divisors is an integer number (92728771296).

Almost surely, 2^{12145553116788} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12145553116788, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17803924088832).

12145553116788 is an abundant number, since it is smaller than the sum of its proper divisors (23462295060876).

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

12145553116788 is a wasteful number, since it uses less digits than its factorization.

12145553116788 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2295 (or 2293 counting only the distinct ones).

The product of its digits is 8064000, while the sum is 57.

The spelling of 12145553116788 in words is "twelve trillion, one hundred forty-five billion, five hundred fifty-three million, one hundred sixteen thousand, seven hundred eighty-eight".