18105482304 has 672 divisors, whose sum is σ = 67855307520. Its totient is φ = 4486938624.

The previous prime is 18105482249. The next prime is 18105482323. The reversal of 18105482304 is 40328450181.

18105482304 is a `hidden beast` number, since 1 + 81 + 0 + 548 + 2 + 30 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 65362614 + ... + 65362890.

It is an arithmetic number, because the mean of its divisors is an integer number (100975160).

Almost surely, 2^18105482304 is an apocalyptic number.

18105482304 is a gapful number since it is divisible by the number (14) 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 18105482304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (33927653760).

18105482304 is an abundant number, since it is smaller than the sum of its proper divisors (49749825216).

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

18105482304 is a wasteful number, since it uses less digits than its factorization.

18105482304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 387 (or 374 counting only the distinct ones).

The product of its (nonzero) digits is 30720, while the sum is 36.

The spelling of 18105482304 in words is "eighteen billion, one hundred five million, four hundred eighty-two thousand, three hundred four".