180414115425 has 192 divisors, whose sum is σ = 378010091520. Its totient is φ = 83825280000.

The previous prime is 180414115423. The next prime is 180414115451. The reversal of 180414115425 is 524511414081.

180414115425 is a `hidden beast` number, since 1 + 80 + 4 + 141 + 15 + 425 = 666.

It is not a de Polignac number, because 180414115425 - 2¹ = 180414115423 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 180414115425.

It is not an unprimeable number, because it can be changed into a prime (180414115423) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 8170650 + ... + 8192700.

It is an arithmetic number, because the mean of its divisors is an integer number (1968802560).

Almost surely, 2^180414115425 is an apocalyptic number.

180414115425 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

180414115425 is an abundant number, since it is smaller than the sum of its proper divisors (197595976095).

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

180414115425 is a wasteful number, since it uses less digits than its factorization.

180414115425 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22141 (or 22130 counting only the distinct ones).

The product of its (nonzero) digits is 25600, while the sum is 36.

The spelling of 180414115425 in words is "one hundred eighty billion, four hundred fourteen million, one hundred fifteen thousand, four hundred twenty-five".