31782281472 has 144 divisors (see below), whose sum is σ = 94674646080. Its totient is φ = 10516451328.

The previous prime is 31782281467. The next prime is 31782281501. The reversal of 31782281472 is 27418228713.

31782281472 is a `hidden beast` number, since 3 + 178 + 2 + 2 + 8 + 1 + 472 = 666.

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-2 number, since 2×31782281472² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 930163 + ... + 963725.

It is an arithmetic number, because the mean of its divisors is an integer number (657462820).

Almost surely, 2^31782281472 is an apocalyptic number.

31782281472 is a gapful number since it is divisible by the number (32) 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 31782281472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47337323040).

31782281472 is an abundant number, since it is smaller than the sum of its proper divisors (62892364608).

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

31782281472 is a wasteful number, since it uses less digits than its factorization.

31782281472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 33725 (or 33705 counting only the distinct ones).

The product of its digits is 301056, while the sum is 45.

The spelling of 31782281472 in words is "thirty-one billion, seven hundred eighty-two million, two hundred eighty-one thousand, four hundred seventy-two".