115676285472 has 288 divisors, whose sum is σ = 371859284160. Its totient is φ = 33806223360.

The previous prime is 115676285453. The next prime is 115676285479. The reversal of 115676285472 is 274582676511.

It is a happy number.

115676285472 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 7 + 628 + 5 + 4 + 7 + 2 = 666.

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

It is not an unprimeable number, because it can be changed into a prime (115676285479) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9900498 + ... + 9912174.

It is an arithmetic number, because the mean of its divisors is an integer number (1291178070).

Almost surely, 2^115676285472 is an apocalyptic number.

115676285472 is a gapful number since it is divisible by the number (12) 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 115676285472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (185929642080).

115676285472 is an abundant number, since it is smaller than the sum of its proper divisors (256182998688).

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

115676285472 is a wasteful number, since it uses less digits than its factorization.

115676285472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11816 (or 11805 counting only the distinct ones).

The product of its digits is 5644800, while the sum is 54.

The spelling of 115676285472 in words is "one hundred fifteen billion, six hundred seventy-six million, two hundred eighty-five thousand, four hundred seventy-two".