18122506416 has 240 divisors, whose sum is σ = 58752628480. Its totient is φ = 5107898880.

The previous prime is 18122506361. The next prime is 18122506459. The reversal of 18122506416 is 61460522181.

It is a happy number.

18122506416 is a `hidden beast` number, since 1 + 8 + 1 + 2 + 2 + 5 + 0 + 641 + 6 = 666.

It is a super-2 number, since 2×18122506416² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29563326 + ... + 29563938.

Almost surely, 2^18122506416 is an apocalyptic number.

18122506416 is a gapful number since it is divisible by the number (16) 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 18122506416, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29376314240).

18122506416 is an abundant number, since it is smaller than the sum of its proper divisors (40630122064).

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

18122506416 is a wasteful number, since it uses less digits than its factorization.

18122506416 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 984 (or 975 counting only the distinct ones).

The product of its (nonzero) digits is 23040, while the sum is 36.

The spelling of 18122506416 in words is "eighteen billion, one hundred twenty-two million, five hundred six thousand, four hundred sixteen".