12664485052416 has 864 divisors, whose sum is σ = 40060064116800. Its totient is φ = 3842443837440.

The previous prime is 12664485052411. The next prime is 12664485052463. The reversal of 12664485052416 is 61425058446621.

It is a happy number.

12664485052416 is a `hidden beast` number, since 1 + 2 + 6 + 64 + 4 + 8 + 50 + 524 + 1 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (12664485052411) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 80665509810 + ... + 80665509966.

It is an arithmetic number, because the mean of its divisors is an integer number (46365814950).

Almost surely, 2^{12664485052416} is an apocalyptic number.

12664485052416 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 12664485052416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20030032058400).

12664485052416 is an abundant number, since it is smaller than the sum of its proper divisors (27395579064384).

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

12664485052416 is an equidigital number, since it uses as much as digits as its factorization.

12664485052416 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 336 (or 301 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 12664485052416 in words is "twelve trillion, six hundred sixty-four billion, four hundred eighty-five million, fifty-two thousand, four hundred sixteen".