472046521632 has 192 divisors, whose sum is σ = 1445264964864. Its totient is φ = 132105093120.

The previous prime is 472046521631. The next prime is 472046521643. The reversal of 472046521632 is 236125640274.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is not an unprimeable number, because it can be changed into a prime (472046521631) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21964332 + ... + 21985812.

It is an arithmetic number, because the mean of its divisors is an integer number (7527421692).

Almost surely, 2^472046521632 is an apocalyptic number.

472046521632 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 472046521632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (722632482432).

472046521632 is an abundant number, since it is smaller than the sum of its proper divisors (973218443232).

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

472046521632 is a wasteful number, since it uses less digits than its factorization.

472046521632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22171 (or 22163 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 42.

The spelling of 472046521632 in words is "four hundred seventy-two billion, forty-six million, five hundred twenty-one thousand, six hundred thirty-two".