472432388407785 has 256 divisors, whose sum is σ = 914630388940800. Its totient is φ = 229991272473600.

The previous prime is 472432388407747. The next prime is 472432388407789. The reversal of 472432388407785 is 587704883234274.

472432388407785 is a `hidden beast` number, since 4 + 7 + 2 + 43 + 23 + 88 + 407 + 7 + 85 = 666.

It is not a de Polignac number, because 472432388407785 - 2¹⁷ = 472432388276713 is a prime.

It is not an unprimeable number, because it can be changed into a prime (472432388407789) by changing a digit.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 52428403930 + ... + 52428412940.

It is an arithmetic number, because the mean of its divisors is an integer number (3572774956800).

Almost surely, 2^{472432388407785} is an apocalyptic number.

472432388407785 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

472432388407785 is a deficient number, since it is larger than the sum of its proper divisors (442198000533015).

472432388407785 is a wasteful number, since it uses less digits than its factorization.

472432388407785 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10141 (or 10135 counting only the distinct ones).

The product of its (nonzero) digits is 2023096320, while the sum is 72.

The spelling of 472432388407785 in words is "four hundred seventy-two trillion, four hundred thirty-two billion, three hundred eighty-eight million, four hundred seven thousand, seven hundred eighty-five".