472426203671136 has 576 divisors, whose sum is σ = 1649281445360640. Its totient is φ = 126223198801920.

The previous prime is 472426203671117. The next prime is 472426203671141. The reversal of 472426203671136 is 631176302624274.

472426203671136 is a `hidden beast` number, since 4 + 7 + 2 + 4 + 2 + 620 + 3 + 6 + 7 + 1 + 1 + 3 + 6 = 666.

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 95 ways as a sum of consecutive naturals, for example, 671235765 + ... + 671939211.

It is an arithmetic number, because the mean of its divisors is an integer number (2863335842640).

Almost surely, 2^{472426203671136} is an apocalyptic number.

472426203671136 is a gapful number since it is divisible by the number (46) 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 472426203671136, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (824640722680320).

472426203671136 is an abundant number, since it is smaller than the sum of its proper divisors (1176855241689504).

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

472426203671136 is a wasteful number, since it uses less digits than its factorization.

472426203671136 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704219 (or 704208 counting only the distinct ones).

The product of its (nonzero) digits is 12192768, while the sum is 54.

The spelling of 472426203671136 in words is "four hundred seventy-two trillion, four hundred twenty-six billion, two hundred three million, six hundred seventy-one thousand, one hundred thirty-six".