12620631541248 has 320 divisors, whose sum is σ = 38114571939840. Its totient is φ = 4122333388800.

The previous prime is 12620631541211. The next prime is 12620631541253. The reversal of 12620631541248 is 84214513602621.

12620631541248 is a `hidden beast` number, since 1 + 2 + 6 + 2 + 0 + 63 + 1 + 541 + 2 + 48 = 666.

It is a hoax number, since the sum of its digits (45) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 176870058 + ... + 176941398.

It is an arithmetic number, because the mean of its divisors is an integer number (119108037312).

Almost surely, 2^{12620631541248} is an apocalyptic number.

12620631541248 is a gapful number since it is divisible by the number (18) 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 12620631541248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19057285969920).

12620631541248 is an abundant number, since it is smaller than the sum of its proper divisors (25493940398592).

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

12620631541248 is an equidigital number, since it uses as much as digits as its factorization.

12620631541248 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 71626 (or 71604 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 12620631541248 in words is "twelve trillion, six hundred twenty billion, six hundred thirty-one million, five hundred forty-one thousand, two hundred forty-eight".