115668667428480 has 384 divisors, whose sum is σ = 402042466350720. Its totient is φ = 30642411331584.

The previous prime is 115668667428389. The next prime is 115668667428497. The reversal of 115668667428480 is 84824766866511.

115668667428480 is a `hidden beast` number, since 1 + 1 + 5 + 6 + 6 + 86 + 67 + 4 + 2 + 8 + 480 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×115668667428480² (a number of 29 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 115668667428399 and 115668667428408.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6224425269 + ... + 6224443851.

It is an arithmetic number, because the mean of its divisors is an integer number (1046985589455).

Almost surely, 2^{115668667428480} is an apocalyptic number.

115668667428480 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 115668667428480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (201021233175360).

115668667428480 is an abundant number, since it is smaller than the sum of its proper divisors (286373798922240).

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

115668667428480 is a wasteful number, since it uses less digits than its factorization.

115668667428480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25648 (or 25633 counting only the distinct ones).

The product of its (nonzero) digits is 743178240, while the sum is 72.

The spelling of 115668667428480 in words is "one hundred fifteen trillion, six hundred sixty-eight billion, six hundred sixty-seven million, four hundred twenty-eight thousand, four hundred eighty".