12352225406976 has 2496 divisors, whose sum is σ = 49748773724160. Its totient is φ = 2945533870080.

The previous prime is 12352225406909. The next prime is 12352225406981. The reversal of 12352225406976 is 67960452225321.

12352225406976 is a `hidden beast` number, since 1 + 2 + 3 + 5 + 2 + 2 + 2 + 540 + 6 + 97 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (2496).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 90162229180 + ... + 90162229316.

Almost surely, 2^{12352225406976} is an apocalyptic number.

12352225406976 is a gapful number since it is divisible by the number (16) 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 12352225406976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24874386862080).

12352225406976 is an abundant number, since it is smaller than the sum of its proper divisors (37396548317184).

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

12352225406976 is a wasteful number, since it uses less digits than its factorization.

12352225406976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 255 (or 210 counting only the distinct ones).

The product of its (nonzero) digits is 10886400, while the sum is 54.

The spelling of 12352225406976 in words is "twelve trillion, three hundred fifty-two billion, two hundred twenty-five million, four hundred six thousand, nine hundred seventy-six".