12924161756064 has 288 divisors, whose sum is σ = 42370261000704. Its totient is φ = 3848384701440.

The previous prime is 12924161756059. The next prime is 12924161756069. The reversal of 12924161756064 is 46065716142921.

12924161756064 is a `hidden beast` number, since 1 + 2 + 9 + 2 + 4 + 1 + 6 + 17 + 560 + 64 = 666.

It is an interprime number because it is at equal distance from previous prime (12924161756059) and next prime (12924161756069).

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a self number, because there is not a number n which added to its sum of digits gives 12924161756064.

It is not an unprimeable number, because it can be changed into a prime (12924161756069) 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, 1071622 + ... + 5195834.

It is an arithmetic number, because the mean of its divisors is an integer number (147118961808).

Almost surely, 2^{12924161756064} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 12924161756064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (21185130500352).

12924161756064 is an abundant number, since it is smaller than the sum of its proper divisors (29446099244640).

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

12924161756064 is a wasteful number, since it uses less digits than its factorization.

12924161756064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4124282 (or 4124262 counting only the distinct ones).

The product of its (nonzero) digits is 4354560, while the sum is 54.

Adding to 12924161756064 its reverse (46065716142921), we get a palindrome (58989877898985).

The spelling of 12924161756064 in words is "twelve trillion, nine hundred twenty-four billion, one hundred sixty-one million, seven hundred fifty-six thousand, sixty-four".