18145777104 has 240 divisors, whose sum is σ = 63208454400. Its totient is φ = 4731623424.

The previous prime is 18145777093. The next prime is 18145777129. The reversal of 18145777104 is 40177754181.

18145777104 is a `hidden beast` number, since 1 + 8 + 1 + 4 + 577 + 71 + 0 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 18145777104.

It is a congruent number.

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, 1158477 + ... + 1174035.

It is an arithmetic number, because the mean of its divisors is an integer number (263368560).

Almost surely, 2^18145777104 is an apocalyptic number.

18145777104 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 18145777104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (31604227200).

18145777104 is an abundant number, since it is smaller than the sum of its proper divisors (45062677296).

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

18145777104 is a wasteful number, since it uses less digits than its factorization.

18145777104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15682 (or 15673 counting only the distinct ones).

The product of its (nonzero) digits is 219520, while the sum is 45.

The spelling of 18145777104 in words is "eighteen billion, one hundred forty-five million, seven hundred seventy-seven thousand, one hundred four".