12352518144 has 144 divisors (see below), whose sum is σ = 36999176760. Its totient is φ = 4117340160.

The previous prime is 12352518133. The next prime is 12352518151. The reversal of 12352518144 is 44181525321.

12352518144 is a `hidden beast` number, since 12 + 3 + 525 + 1 + 81 + 44 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a junction number, because it is equal to n+sod(n) for n = 12352518099 and 12352518108.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 485254 + ... + 510074.

Almost surely, 2^12352518144 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 12352518144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18499588380).

12352518144 is an abundant number, since it is smaller than the sum of its proper divisors (24646658616).

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

12352518144 is an frugal number, since it uses more digits than its factorization.

12352518144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24858 (or 24826 counting only the distinct ones).

The product of its digits is 38400, while the sum is 36.

The spelling of 12352518144 in words is "twelve billion, three hundred fifty-two million, five hundred eighteen thousand, one hundred forty-four".