115201416 has 64 divisors (see below), whose sum is σ = 315187200. Its totient is φ = 34798400.

The previous prime is 115201409. The next prime is 115201433. The reversal of 115201416 is 614102511.

It is a junction number, because it is equal to n+sod(n) for n = 115201392 and 115201401.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 126001 + ... + 126911.

It is an arithmetic number, because the mean of its divisors is an integer number (4924800).

Almost surely, 2^115201416 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115201416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (157593600).

115201416 is an abundant number, since it is smaller than the sum of its proper divisors (199985784).

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

115201416 is a wasteful number, since it uses less digits than its factorization.

115201416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1410 (or 1406 counting only the distinct ones).

The product of its (nonzero) digits is 240, while the sum is 21.

The square root of 115201416 is about 10733.1922558016. The cubic root of 115201416 is about 486.5781532484.

Adding to 115201416 its reverse (614102511), we get a palindrome (729303927).

The spelling of 115201416 in words is "one hundred fifteen million, two hundred one thousand, four hundred sixteen".