115341456624480 has 288 divisors, whose sum is σ = 399301695243360. Its totient is φ = 30313029427200.

The previous prime is 115341456624473. The next prime is 115341456624491. The reversal of 115341456624480 is 84426654143511.

115341456624480 is a `hidden beast` number, since 1 + 1 + 5 + 3 + 4 + 1 + 4 + 5 + 6 + 624 + 4 + 8 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 136339431 + ... + 137182809.

It is an arithmetic number, because the mean of its divisors is an integer number (1386464219595).

Almost surely, 2^{115341456624480} is an apocalyptic number.

115341456624480 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115341456624480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (199650847621680).

115341456624480 is an abundant number, since it is smaller than the sum of its proper divisors (283960238618880).

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

115341456624480 is a wasteful number, since it uses less digits than its factorization.

115341456624480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 844774 (or 844763 counting only the distinct ones).

The product of its (nonzero) digits is 11059200, while the sum is 54.

The spelling of 115341456624480 in words is "one hundred fifteen trillion, three hundred forty-one billion, four hundred fifty-six million, six hundred twenty-four thousand, four hundred eighty".