472158324288 has 224 divisors, whose sum is σ = 1589811928320. Its totient is φ = 134608158720.

The previous prime is 472158324269. The next prime is 472158324289. The reversal of 472158324288 is 882423851274.

It is a happy number.

472158324288 is a `hidden beast` number, since 472 + 1 + 58 + 3 + 2 + 42 + 88 = 666.

It is a tau number, because it is divible by the number of its divisors (224).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (472158324289) 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 31 ways as a sum of consecutive naturals, for example, 5533920 + ... + 5618592.

It is an arithmetic number, because the mean of its divisors is an integer number (7097374680).

Almost surely, 2^472158324288 is an apocalyptic number.

472158324288 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 472158324288, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (794905964160).

472158324288 is an abundant number, since it is smaller than the sum of its proper divisors (1117653604032).

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

472158324288 is a wasteful number, since it uses less digits than its factorization.

472158324288 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 85162 (or 85146 counting only the distinct ones).

The product of its digits is 6881280, while the sum is 54.

The spelling of 472158324288 in words is "four hundred seventy-two billion, one hundred fifty-eight million, three hundred twenty-four thousand, two hundred eighty-eight".