8146401664800 has 432 divisors, whose sum is σ = 30859463617920. Its totient is φ = 1861207971840.

The previous prime is 8146401664727. The next prime is 8146401664811. The reversal of 8146401664800 is 84661046418.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a self number, because there is not a number n which added to its sum of digits gives 8146401664800.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 287753046 + ... + 287781354.

It is an arithmetic number, because the mean of its divisors is an integer number (71433943560).

Almost surely, 2^{8146401664800} is an apocalyptic number.

8146401664800 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 8146401664800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15429731808960).

8146401664800 is an abundant number, since it is smaller than the sum of its proper divisors (22713061953120).

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

8146401664800 is a wasteful number, since it uses less digits than its factorization.

8146401664800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30793 (or 30773 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 8146401664800 in words is "eight trillion, one hundred forty-six billion, four hundred one million, six hundred sixty-four thousand, eight hundred".