2423146471200 has 5184 divisors, whose sum is σ = 12516398899200. Its totient is φ = 448345497600.

The previous prime is 2423146471199. The next prime is 2423146471247. The reversal of 2423146471200 is 21746413242.

2423146471200 is a `hidden beast` number, since 2 + 4 + 2 + 3 + 1 + 4 + 647 + 1 + 2 + 0 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 863 ways as a sum of consecutive naturals, for example, 78166015185 + ... + 78166015215.

It is an arithmetic number, because the mean of its divisors is an integer number (2414428800).

Almost surely, 2^{2423146471200} is an apocalyptic number.

2423146471200 is a gapful number since it is divisible by the number (20) 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 2423146471200, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6258199449600).

2423146471200 is an abundant number, since it is smaller than the sum of its proper divisors (10093252428000).

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

2423146471200 is a wasteful number, since it uses less digits than its factorization.

2423146471200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142 (or 103 counting only the distinct ones).

The product of its (nonzero) digits is 64512, while the sum is 36.

The spelling of 2423146471200 in words is "two trillion, four hundred twenty-three billion, one hundred forty-six million, four hundred seventy-one thousand, two hundred".