8148470212800 has 504 divisors, whose sum is σ = 30671926561536. Its totient is φ = 2047423150080.

The previous prime is 8148470212763. The next prime is 8148470212807. The reversal of 8148470212800 is 82120748418.

8148470212800 is a `hidden beast` number, since 8 + 1 + 484 + 70 + 21 + 2 + 80 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is not an unprimeable number, because it can be changed into a prime (8148470212807) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 22006797 + ... + 22374003.

Almost surely, 2^{8148470212800} is an apocalyptic number.

8148470212800 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 8148470212800, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (15335963280768).

8148470212800 is an abundant number, since it is smaller than the sum of its proper divisors (22523456348736).

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

8148470212800 is a wasteful number, since it uses less digits than its factorization.

8148470212800 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 367325 (or 367307 counting only the distinct ones).

The product of its (nonzero) digits is 229376, while the sum is 45.

The spelling of 8148470212800 in words is "eight trillion, one hundred forty-eight billion, four hundred seventy million, two hundred twelve thousand, eight hundred".