32338683468 has 576 divisors, whose sum is σ = 113008896000. Its totient is φ = 7711925760.

The previous prime is 32338683401. The next prime is 32338683473. The reversal of 32338683468 is 86438683323.

It is a happy number.

32338683468 is a `hidden beast` number, since 3 + 23 + 3 + 86 + 83 + 468 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 70148758 + ... + 70149218.

It is an arithmetic number, because the mean of its divisors is an integer number (196196000).

Almost surely, 2^32338683468 is an apocalyptic number.

32338683468 is a gapful number since it is divisible by the number (38) 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 32338683468, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (56504448000).

32338683468 is an abundant number, since it is smaller than the sum of its proper divisors (80670212532).

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

32338683468 is a wasteful number, since it uses less digits than its factorization.

32338683468 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 547 (or 528 counting only the distinct ones).

The product of its digits is 11943936, while the sum is 54.

It can be divided in two parts, 32338 and 683468, that added together give a triangular number (715806 = T₁₁₉₆).

The spelling of 32338683468 in words is "thirty-two billion, three hundred thirty-eight million, six hundred eighty-three thousand, four hundred sixty-eight".