12252284964864 has 1560 divisors, whose sum is σ = 46174481863488. Its totient is φ = 3214989066240.

The previous prime is 12252284964863. The next prime is 12252284964943. The reversal of 12252284964864 is 46846948225221.

12252284964864 is a `hidden beast` number, since 1 + 2 + 2 + 522 + 8 + 4 + 9 + 6 + 48 + 64 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12252284964863) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 11883884029 + ... + 11883885059.

Almost surely, 2^{12252284964864} is an apocalyptic number.

12252284964864 is a gapful number since it is divisible by the number (14) 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 12252284964864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23087240931744).

12252284964864 is an abundant number, since it is smaller than the sum of its proper divisors (33922196898624).

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

12252284964864 is a wasteful number, since it uses less digits than its factorization.

12252284964864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1141 (or 1103 counting only the distinct ones).

The product of its digits is 106168320, while the sum is 63.

The spelling of 12252284964864 in words is "twelve trillion, two hundred fifty-two billion, two hundred eighty-four million, nine hundred sixty-four thousand, eight hundred sixty-four".