18172149408 has 216 divisors, whose sum is σ = 62054778240. Its totient is φ = 5024436480.

The previous prime is 18172149407. The next prime is 18172149421. The reversal of 18172149408 is 80494127181.

18172149408 is a `hidden beast` number, since 18 + 17 + 214 + 9 + 408 = 666.

It is not an unprimeable number, because it can be changed into a prime (18172149407) by changing a digit.

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 35 ways as a sum of consecutive naturals, for example, 416703 + ... + 458241.

It is an arithmetic number, because the mean of its divisors is an integer number (287290640).

Almost surely, 2^18172149408 is an apocalyptic number.

18172149408 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 18172149408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31027389120).

18172149408 is an abundant number, since it is smaller than the sum of its proper divisors (43882628832).

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

18172149408 is a wasteful number, since it uses less digits than its factorization.

18172149408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 41600 (or 41582 counting only the distinct ones).

The product of its (nonzero) digits is 129024, while the sum is 45.

The spelling of 18172149408 in words is "eighteen billion, one hundred seventy-two million, one hundred forty-nine thousand, four hundred eight".