18105349680 has 240 divisors, whose sum is σ = 66425632416. Its totient is φ = 4382945280.

The previous prime is 18105349597. The next prime is 18105349699. The reversal of 18105349680 is 8694350181.

18105349680 is a `hidden beast` number, since 1 + 81 + 0 + 5 + 3 + 496 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (240).

It is a super-2 number, since 2×18105349680² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

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, 8180254 + ... + 8182466.

Almost surely, 2^18105349680 is an apocalyptic number.

18105349680 is a gapful number since it is divisible by the number (10) 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 18105349680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33212816208).

18105349680 is an abundant number, since it is smaller than the sum of its proper divisors (48320282736).

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

18105349680 is a wasteful number, since it uses less digits than its factorization.

18105349680 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3276 (or 3267 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 45.

The spelling of 18105349680 in words is "eighteen billion, one hundred five million, three hundred forty-nine thousand, six hundred eighty".