18161861760 has 576 divisors, whose sum is σ = 73533727800. Its totient is φ = 4118446080.

The previous prime is 18161861747. The next prime is 18161861789. The reversal of 18161861760 is 6716816181.

18161861760 is a `hidden beast` number, since 1 + 8 + 16 + 18 + 617 + 6 + 0 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 17928138816 + 233722944 = 133896^2 + 15288^2 .

It is a tau number, because it is divible by the number of its divisors (576).

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 71 ways as a sum of consecutive naturals, for example, 64632820 + ... + 64633100.

Almost surely, 2^18161861760 is an apocalyptic number.

18161861760 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 18161861760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (36766863900).

18161861760 is an abundant number, since it is smaller than the sum of its proper divisors (55371866040).

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

18161861760 is a wasteful number, since it uses less digits than its factorization.

18161861760 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 549 (or 527 counting only the distinct ones).

The product of its (nonzero) digits is 96768, while the sum is 45.

The spelling of 18161861760 in words is "eighteen billion, one hundred sixty-one million, eight hundred sixty-one thousand, seven hundred sixty".