12448861042176 has 1120 divisors, whose sum is σ = 41252029888608. Its totient is φ = 3727941304320.

The previous prime is 12448861042109. The next prime is 12448861042213. The reversal of 12448861042176 is 67124016884421.

12448861042176 is a `hidden beast` number, since 1 + 2 + 4 + 4 + 8 + 8 + 610 + 4 + 2 + 17 + 6 = 666.

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

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 111 ways as a sum of consecutive naturals, for example, 40550035815 + ... + 40550036121.

Almost surely, 2^{12448861042176} is an apocalyptic number.

12448861042176 is a gapful number since it is divisible by the number (16) 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 12448861042176, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20626014944304).

12448861042176 is an abundant number, since it is smaller than the sum of its proper divisors (28803168846432).

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

12448861042176 is an equidigital number, since it uses as much as digits as its factorization.

12448861042176 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 554 (or 523 counting only the distinct ones).

The product of its (nonzero) digits is 4128768, while the sum is 54.

The spelling of 12448861042176 in words is "twelve trillion, four hundred forty-eight billion, eight hundred sixty-one million, forty-two thousand, one hundred seventy-six".