12617051624884 has 96 divisors (see below), whose sum is σ = 25766706341376. Its totient is φ = 5293639802880.

The previous prime is 12617051624869. The next prime is 12617051624887. The reversal of 12617051624884 is 48842615071621.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (12617051624887) 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 31 ways as a sum of consecutive naturals, for example, 1546013764 + ... + 1546021924.

It is an arithmetic number, because the mean of its divisors is an integer number (268403191056).

Almost surely, 2^{12617051624884} is an apocalyptic number.

12617051624884 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 12617051624884, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (12883353170688).

12617051624884 is an abundant number, since it is smaller than the sum of its proper divisors (13149654716492).

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

12617051624884 is a wasteful number, since it uses less digits than its factorization.

12617051624884 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10385 (or 10383 counting only the distinct ones).

The product of its (nonzero) digits is 5160960, while the sum is 55.

The spelling of 12617051624884 in words is "twelve trillion, six hundred seventeen billion, fifty-one million, six hundred twenty-four thousand, eight hundred eighty-four".