473203961298432 has 2880 divisors, whose sum is σ = 1807144432853760. Its totient is φ = 117986977382400.

The previous prime is 473203961298373. The next prime is 473203961298449. The reversal of 473203961298432 is 234892169302374.

It is a happy number.

473203961298432 is a `hidden beast` number, since 4 + 7 + 3 + 2 + 0 + 3 + 9 + 612 + 9 + 8 + 4 + 3 + 2 = 666.

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

It is a self number, because there is not a number n which added to its sum of digits gives 473203961298432.

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 287 ways as a sum of consecutive naturals, for example, 1683999862132 + ... + 1683999862412.

It is an arithmetic number, because the mean of its divisors is an integer number (627480705852).

Almost surely, 2^{473203961298432} is an apocalyptic number.

473203961298432 is a gapful number since it is divisible by the number (42) 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 473203961298432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (903572216426880).

473203961298432 is an abundant number, since it is smaller than the sum of its proper divisors (1333940471555328).

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

473203961298432 is a wasteful number, since it uses less digits than its factorization.

473203961298432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 705 (or 679 counting only the distinct ones).

The product of its (nonzero) digits is 94058496, while the sum is 63.

The spelling of 473203961298432 in words is "four hundred seventy-three trillion, two hundred three billion, nine hundred sixty-one million, two hundred ninety-eight thousand, four hundred thirty-two".