12654411748416 has 441 divisors, whose sum is σ = 38646257934279. Its totient is φ = 4109283747072.

The previous prime is 12654411748357. The next prime is 12654411748417. The reversal of 12654411748416 is 61484711445621.

The square root of 12654411748416 is 3557304.

It is a perfect power (a square), and thus also a powerful number.

12654411748416 is a `hidden beast` number, since 1 + 2 + 6 + 5 + 44 + 117 + 484 + 1 + 6 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (12654411748417) by changing a digit.

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 62 ways as a sum of consecutive naturals, for example, 33040239361 + ... + 33040239743.

Almost surely, 2^{12654411748416} is an apocalyptic number.

12654411748416 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12654411748416 is the 3557304-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12654411748416

12654411748416 is an abundant number, since it is smaller than the sum of its proper divisors (25991846185863).

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

12654411748416 is an frugal number, since it uses more digits than its factorization.

12654411748416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 882 (or 431 counting only the distinct ones).

The product of its digits is 5160960, while the sum is 54.

The spelling of 12654411748416 in words is "twelve trillion, six hundred fifty-four billion, four hundred eleven million, seven hundred forty-eight thousand, four hundred sixteen".