473795046144 has 1728 divisors, whose sum is σ = 1872330163200. Its totient is φ = 117050572800.

The previous prime is 473795046143. The next prime is 473795046199. The reversal of 473795046144 is 441640597374.

473795046144 is a `hidden beast` number, since 4 + 7 + 3 + 79 + 504 + 61 + 4 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1728).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (473795046143) 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, 6673169629 + ... + 6673169699.

It is an arithmetic number, because the mean of its divisors is an integer number (1083524400).

Almost surely, 2^473795046144 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 473795046144, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (936165081600).

473795046144 is an abundant number, since it is smaller than the sum of its proper divisors (1398535117056).

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

473795046144 is a wasteful number, since it uses less digits than its factorization.

473795046144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 207 (or 180 counting only the distinct ones).

The product of its (nonzero) digits is 10160640, while the sum is 54.

The spelling of 473795046144 in words is "four hundred seventy-three billion, seven hundred ninety-five million, forty-six thousand, one hundred forty-four".