12145153623552 has 280 divisors, whose sum is σ = 36498364798896. Its totient is φ = 4035574296576.

The previous prime is 12145153623487. The next prime is 12145153623587. The reversal of 12145153623552 is 25532635154121.

12145153623552 is a `hidden beast` number, since 1 + 2 + 1 + 4 + 5 + 15 + 3 + 623 + 5 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 12145153623498 and 12145153623507.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 27 ways as a sum of consecutive naturals, for example, 118268293 + ... + 118370939.

Almost surely, 2^{12145153623552} is an apocalyptic number.

12145153623552 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 12145153623552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18249182399448).

12145153623552 is an abundant number, since it is smaller than the sum of its proper divisors (24353211175344).

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

12145153623552 is an frugal number, since it uses more digits than its factorization.

12145153623552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 103000 (or 102969 counting only the distinct ones).

The product of its digits is 1080000, while the sum is 45.

Adding to 12145153623552 its reverse (25532635154121), we get a palindrome (37677788777673).

The spelling of 12145153623552 in words is "twelve trillion, one hundred forty-five billion, one hundred fifty-three million, six hundred twenty-three thousand, five hundred fifty-two".