473091729310368 has 288 divisors, whose sum is σ = 1642461325686720. Its totient is φ = 132025598369280.

The previous prime is 473091729310363. The next prime is 473091729310379. The reversal of 473091729310368 is 863013927190374.

It is a happy number.

473091729310368 is a `hidden beast` number, since 4 + 7 + 3 + 0 + 9 + 172 + 93 + 10 + 368 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (473091729310363) 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 47 ways as a sum of consecutive naturals, for example, 128117823 + ... + 131758718.

It is an arithmetic number, because the mean of its divisors is an integer number (5702990714190).

Almost surely, 2^{473091729310368} is an apocalyptic number.

473091729310368 is a gapful number since it is divisible by the number (48) formed by its first and last digit.

It is an amenable number.

473091729310368 is an abundant number, since it is smaller than the sum of its proper divisors (1169369596376352).

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

473091729310368 is a wasteful number, since it uses less digits than its factorization.

473091729310368 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259876617 (or 259876596 counting only the distinct ones).

The product of its (nonzero) digits is 41150592, while the sum is 63.

The spelling of 473091729310368 in words is "four hundred seventy-three trillion, ninety-one billion, seven hundred twenty-nine million, three hundred ten thousand, three hundred sixty-eight".