8915136400 has 45 divisors (see below), whose sum is σ = 21423153043. Its totient is φ = 3565299200.

The previous prime is 8915136389. The next prime is 8915136403. The reversal of 8915136400 is 46315198.

The square root of 8915136400 is 94420.

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

It can be written as a sum of positive squares in 4 ways, for example, as 91164304 + 8823972096 = 9548^2 + 93936^2 .

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 8915136400.

It is not an unprimeable number, because it can be changed into a prime (8915136403) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 1886040 + ... + 1890760.

Almost surely, 2^8915136400 is an apocalyptic number.

8915136400 is a gapful number since it is divisible by the number (80) formed by its first and last digit.

8915136400 is the 94420-th square number.

It is an amenable number.

8915136400 is an abundant number, since it is smaller than the sum of its proper divisors (12508016643).

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

8915136400 is an frugal number, since it uses more digits than its factorization.

8915136400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9460 (or 4728 counting only the distinct ones).

The product of its (nonzero) digits is 25920, while the sum is 37.

The cubic root of 8915136400 is about 2073.5252617020.

The spelling of 8915136400 in words is "eight billion, nine hundred fifteen million, one hundred thirty-six thousand, four hundred".