472695911352 has 448 divisors, whose sum is σ = 1574574750720. Its totient is φ = 130174159104.

The previous prime is 472695911351. The next prime is 472695911407. The reversal of 472695911352 is 253119596274.

472695911352 is a `hidden beast` number, since 47 + 2 + 6 + 9 + 591 + 1 + 3 + 5 + 2 = 666.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472695911351) by changing a digit.

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 111 ways as a sum of consecutive naturals, for example, 128552938 + ... + 128556614.

Almost surely, 2^472695911352 is an apocalyptic number.

472695911352 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 472695911352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (787287375360).

472695911352 is an abundant number, since it is smaller than the sum of its proper divisors (1101878839368).

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

472695911352 is a wasteful number, since it uses less digits than its factorization.

472695911352 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3822 (or 3803 counting only the distinct ones).

The product of its digits is 4082400, while the sum is 54.

The spelling of 472695911352 in words is "four hundred seventy-two billion, six hundred ninety-five million, nine hundred eleven thousand, three hundred fifty-two".