12354558372 has 168 divisors, whose sum is σ = 35765364600. Its totient is φ = 3708218880.

The previous prime is 12354558343. The next prime is 12354558389. The reversal of 12354558372 is 27385545321.

12354558372 is a `hidden beast` number, since 1 + 23 + 5 + 4 + 558 + 3 + 72 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 112021056 + 12242537316 = 10584^2 + 110646^2 .

It is a super-2 number, since 2×12354558372² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 1550254 + ... + 1558202.

It is an arithmetic number, because the mean of its divisors is an integer number (212889075).

Almost surely, 2^12354558372 is an apocalyptic number.

12354558372 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 12354558372, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17882682300).

12354558372 is an abundant number, since it is smaller than the sum of its proper divisors (23410806228).

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

12354558372 is a wasteful number, since it uses less digits than its factorization.

12354558372 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8025 (or 8008 counting only the distinct ones).

The product of its digits is 1008000, while the sum is 45.

The spelling of 12354558372 in words is "twelve billion, three hundred fifty-four million, five hundred fifty-eight thousand, three hundred seventy-two".