8412653048800 has 1152 divisors, whose sum is σ = 28734560870400. Its totient is φ = 2320109568000.

The previous prime is 8412653048783. The next prime is 8412653048809. The reversal of 8412653048800 is 88403562148.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8412653048809) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 2705901646 + ... + 2705904754.

It is an arithmetic number, because the mean of its divisors is an integer number (24943195200).

Almost surely, 2^{8412653048800} is an apocalyptic number.

8412653048800 is a gapful number since it is divisible by the number (80) 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 8412653048800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14367280435200).

8412653048800 is an abundant number, since it is smaller than the sum of its proper divisors (20321907821600).

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

8412653048800 is a wasteful number, since it uses less digits than its factorization.

8412653048800 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3300 (or 3287 counting only the distinct ones).

The product of its (nonzero) digits is 1474560, while the sum is 49.

The spelling of 8412653048800 in words is "eight trillion, four hundred twelve billion, six hundred fifty-three million, forty-eight thousand, eight hundred".