12354452352 has 288 divisors, whose sum is σ = 39341942640. Its totient is φ = 3718471680.

The previous prime is 12354452339. The next prime is 12354452389. The reversal of 12354452352 is 25325445321.

12354452352 is a `hidden beast` number, since 12 + 3 + 544 + 52 + 3 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×12354452352³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 36659928 + ... + 36660264.

Almost surely, 2^12354452352 is an apocalyptic number.

12354452352 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 12354452352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19670971320).

12354452352 is an abundant number, since it is smaller than the sum of its proper divisors (26987490288).

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

12354452352 is a wasteful number, since it uses less digits than its factorization.

12354452352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 642 (or 616 counting only the distinct ones).

The product of its digits is 144000, while the sum is 36.

Adding to 12354452352 its reverse (25325445321), we get a palindrome (37679897673).

The spelling of 12354452352 in words is "twelve billion, three hundred fifty-four million, four hundred fifty-two thousand, three hundred fifty-two".