12616249348096 has 351 divisors, whose sum is σ = 28056108903291. Its totient is φ = 5671276756992.

The previous prime is 12616249348069. The next prime is 12616249348103. The reversal of 12616249348096 is 69084394261621.

The square root of 12616249348096 is 3551936.

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

It is a super-2 number, since 2×12616249348096² (a number of 27 digits) contains 22 as substring.

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 26 ways as a sum of consecutive naturals, for example, 99340545985 + ... + 99340546111.

Almost surely, 2^{12616249348096} is an apocalyptic number.

12616249348096 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

12616249348096 is the 3551936-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12616249348096

12616249348096 is an abundant number, since it is smaller than the sum of its proper divisors (15439859555195).

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

12616249348096 is an frugal number, since it uses more digits than its factorization.

12616249348096 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 362 (or 171 counting only the distinct ones).

The product of its (nonzero) digits is 26873856, while the sum is 61.

The spelling of 12616249348096 in words is "twelve trillion, six hundred sixteen billion, two hundred forty-nine million, three hundred forty-eight thousand, ninety-six".