115461321616 has 135 divisors (see below), whose sum is σ = 251762461041. Its totient is φ = 51279293952.

The previous prime is 115461321593. The next prime is 115461321617. The reversal of 115461321616 is 616123164511.

It is a happy number.

The square root of 115461321616 is 339796.

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., 89892032400 + 25569289216 = 299820^2 + 159904^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (115461321617) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 439016301 + ... + 439016563.

Almost surely, 2^115461321616 is an apocalyptic number.

115461321616 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

115461321616 is the 339796-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115461321616

115461321616 is an abundant number, since it is smaller than the sum of its proper divisors (136301139425).

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

115461321616 is an equidigital number, since it uses as much as digits as its factorization.

115461321616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 606 (or 301 counting only the distinct ones).

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

The spelling of 115461321616 in words is "one hundred fifteen billion, four hundred sixty-one million, three hundred twenty-one thousand, six hundred sixteen".