472144003968 has 512 divisors, whose sum is σ = 1638459325440. Its totient is φ = 116901937152.

The previous prime is 472144003943. The next prime is 472144003997. The reversal of 472144003968 is 869300441274.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 324943530 + ... + 324944982.

It is an arithmetic number, because the mean of its divisors is an integer number (3200115870).

Almost surely, 2^472144003968 is an apocalyptic number.

472144003968 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 472144003968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (819229662720).

472144003968 is an abundant number, since it is smaller than the sum of its proper divisors (1166315321472).

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

472144003968 is a wasteful number, since it uses less digits than its factorization.

472144003968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2054 (or 2042 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 48.

The spelling of 472144003968 in words is "four hundred seventy-two billion, one hundred forty-four million, three thousand, nine hundred sixty-eight".