473204874016128 has 256 divisors, whose sum is σ = 1310788614009600. Its totient is φ = 151067608473600.

The previous prime is 473204874016117. The next prime is 473204874016163. The reversal of 473204874016128 is 821610478402374.

It is a happy number.

It is a super-2 number, since 2×473204874016128² (a number of 30 digits) contains 22 as substring.

It is a hoax number, since the sum of its digits (57) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 3415018975 + ... + 3415157537.

It is an arithmetic number, because the mean of its divisors is an integer number (5120268023475).

Almost surely, 2^{473204874016128} is an apocalyptic number.

473204874016128 is a gapful number since it is divisible by the number (48) 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 473204874016128, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (655394307004800).

473204874016128 is an abundant number, since it is smaller than the sum of its proper divisors (837583739993472).

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

473204874016128 is a wasteful number, since it uses less digits than its factorization.

473204874016128 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 141081 (or 141069 counting only the distinct ones).

The product of its (nonzero) digits is 14450688, while the sum is 57.

The spelling of 473204874016128 in words is "four hundred seventy-three trillion, two hundred four billion, eight hundred seventy-four million, sixteen thousand, one hundred twenty-eight".