115046432440900 has 81 divisors (see below), whose sum is σ = 253233252959197. Its totient is φ = 45367420789600.

The previous prime is 115046432440873. The next prime is 115046432440931. The reversal of 115046432440900 is 9044234640511.

The square root of 115046432440900 is 10725970.

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

It can be written as a sum of positive squares in only one way, i.e., 41416715678724 + 73629716762176 = 6435582^2 + 8580776^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 7615431147 + ... + 7615446253.

Almost surely, 2^{115046432440900} is an apocalyptic number.

115046432440900 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

115046432440900 is the 10725970-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115046432440900

115046432440900 is an abundant number, since it is smaller than the sum of its proper divisors (138186820518297).

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

115046432440900 is an frugal number, since it uses more digits than its factorization.

115046432440900 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 30370 (or 15185 counting only the distinct ones).

The product of its (nonzero) digits is 414720, while the sum is 43.

The spelling of 115046432440900 in words is "one hundred fifteen trillion, forty-six billion, four hundred thirty-two million, four hundred forty thousand, nine hundred".