8381402500 has 45 divisors (see below), whose sum is σ = 18338466531. Its totient is φ = 3350730000.

The previous prime is 8381402473. The next prime is 8381402507. The reversal of 8381402500 is 52041838.

The square root of 8381402500 is 91550.

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

It can be written as a sum of positive squares in 2 ways, for example, as 657101956 + 7724300544 = 25634^2 + 87888^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (8381402507) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 4576585 + ... + 4578415.

Almost surely, 2^8381402500 is an apocalyptic number.

8381402500 is the 91550-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 8381402500

8381402500 is an abundant number, since it is smaller than the sum of its proper divisors (9957064031).

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

8381402500 is an frugal number, since it uses more digits than its factorization.

8381402500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3686 (or 1838 counting only the distinct ones).

The product of its (nonzero) digits is 7680, while the sum is 31.

The cubic root of 8381402500 is about 2031.2914121735.

It can be divided in two parts, 8381 and 402500, that added together give a square (410881 = 641²).

The spelling of 8381402500 in words is "eight billion, three hundred eighty-one million, four hundred two thousand, five hundred".