12949197088464 has 720 divisors, whose sum is σ = 48747269975040. Its totient is φ = 3168981688320.

The previous prime is 12949197088453. The next prime is 12949197088469. The reversal of 12949197088464 is 46488079194921.

12949197088464 is a `hidden beast` number, since 1 + 2 + 9 + 4 + 9 + 19 + 70 + 88 + 464 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 12949197088392 and 12949197088401.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12949197088469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 110657217 + ... + 110774175.

It is an arithmetic number, because the mean of its divisors is an integer number (67704541632).

Almost surely, 2^{12949197088464} is an apocalyptic number.

12949197088464 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 12949197088464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24373634987520).

12949197088464 is an abundant number, since it is smaller than the sum of its proper divisors (35798072886576).

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

12949197088464 is a wasteful number, since it uses less digits than its factorization.

12949197088464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 117088 (or 117072 counting only the distinct ones).

The product of its (nonzero) digits is 250822656, while the sum is 72.

The spelling of 12949197088464 in words is "twelve trillion, nine hundred forty-nine billion, one hundred ninety-seven million, eighty-eight thousand, four hundred sixty-four".