178338415068 has 960 divisors, whose sum is σ = 600668006400. Its totient is φ = 45416816640.

The previous prime is 178338415039. The next prime is 178338415207. The reversal of 178338415068 is 860514833871.

It is a happy number.

178338415068 is a `hidden beast` number, since 17 + 83 + 3 + 8 + 41 + 506 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 319 ways as a sum of consecutive naturals, for example, 2257448253 + ... + 2257448331.

It is an arithmetic number, because the mean of its divisors is an integer number (625695840).

Almost surely, 2^178338415068 is an apocalyptic number.

178338415068 is a gapful number since it is divisible by the number (18) 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 178338415068, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (300334003200).

178338415068 is an abundant number, since it is smaller than the sum of its proper divisors (422329591332).

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

178338415068 is a wasteful number, since it uses less digits than its factorization.

178338415068 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 232 (or 221 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 178338415068 in words is "one hundred seventy-eight billion, three hundred thirty-eight million, four hundred fifteen thousand, sixty-eight".