18834090408 has 192 divisors, whose sum is σ = 63505296000. Its totient is φ = 5147138304.

The previous prime is 18834090371. The next prime is 18834090433. The reversal of 18834090408 is 80409043881.

18834090408 is a `hidden beast` number, since 188 + 340 + 90 + 40 + 8 = 666.

It is a super-2 number, since 2×18834090408² (a number of 21 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 204748 + ... + 282116.

It is an arithmetic number, because the mean of its divisors is an integer number (330756750).

Almost surely, 2^18834090408 is an apocalyptic number.

18834090408 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 18834090408, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31752648000).

18834090408 is an abundant number, since it is smaller than the sum of its proper divisors (44671205592).

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

18834090408 is a wasteful number, since it uses less digits than its factorization.

18834090408 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 77421 (or 77404 counting only the distinct ones).

The product of its (nonzero) digits is 221184, while the sum is 45.

The spelling of 18834090408 in words is "eighteen billion, eight hundred thirty-four million, ninety thousand, four hundred eight".