12422583554976 has 576 divisors, whose sum is σ = 42728999040000. Its totient is φ = 3344308051968.

The previous prime is 12422583554951. The next prime is 12422583554977. The reversal of 12422583554976 is 67945538522421.

12422583554976 is a `hidden beast` number, since 1 + 2 + 4 + 2 + 2 + 5 + 8 + 3 + 554 + 9 + 76 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (12422583554977) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 6632451576 + ... + 6632453448.

It is an arithmetic number, because the mean of its divisors is an integer number (74182290000).

Almost surely, 2^{12422583554976} is an apocalyptic number.

12422583554976 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 12422583554976, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21364499520000).

12422583554976 is an abundant number, since it is smaller than the sum of its proper divisors (30306415485024).

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

12422583554976 is a wasteful number, since it uses less digits than its factorization.

12422583554976 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761 (or 2750 counting only the distinct ones).

The product of its digits is 145152000, while the sum is 63.

The spelling of 12422583554976 in words is "twelve trillion, four hundred twenty-two billion, five hundred eighty-three million, five hundred fifty-four thousand, nine hundred seventy-six".