382732488602500 has 135 divisors (see below), whose sum is σ = 839687027399913. Its totient is φ = 152595690000000.

The previous prime is 382732488602461. The next prime is 382732488602501. The reversal of 382732488602500 is 5206884237283.

The square root of 382732488602500 is 19563550.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 7 ways, for example, as 353234207564676 + 29498281037824 = 18794526^2 + 5431232^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (382732488602501) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 509630477125 + ... + 509630477875.

Almost surely, 2^{382732488602500} is an apocalyptic number.

382732488602500 is the 19563550-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 382732488602500

382732488602500 is an abundant number, since it is smaller than the sum of its proper divisors (456954538797413).

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

382732488602500 is an frugal number, since it uses more digits than its factorization.

382732488602500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2568 (or 1279 counting only the distinct ones).

The product of its (nonzero) digits is 30965760, while the sum is 58.

The spelling of 382732488602500 in words is "three hundred eighty-two trillion, seven hundred thirty-two billion, four hundred eighty-eight million, six hundred two thousand, five hundred".