472254951168 has 864 divisors, whose sum is σ = 1847921467392. Its totient is φ = 112007577600.

The previous prime is 472254951167. The next prime is 472254951191. The reversal of 472254951168 is 861159452274.

472254951168 is a `hidden beast` number, since 4 + 7 + 2 + 25 + 49 + 511 + 68 = 666.

472254951168 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (472254951167) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 223710433 + ... + 223712543.

Almost surely, 2^472254951168 is an apocalyptic number.

472254951168 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 472254951168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (923960733696).

472254951168 is an abundant number, since it is smaller than the sum of its proper divisors (1375666516224).

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

472254951168 is a wasteful number, since it uses less digits than its factorization.

472254951168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2261 (or 2244 counting only the distinct ones).

The product of its digits is 4838400, while the sum is 54.

The spelling of 472254951168 in words is "four hundred seventy-two billion, two hundred fifty-four million, nine hundred fifty-one thousand, one hundred sixty-eight".