18648141876 has 216 divisors, whose sum is σ = 59722495560. Its totient is φ = 4862398464.

The previous prime is 18648141833. The next prime is 18648141893. The reversal of 18648141876 is 67814184681.

18648141876 is a `hidden beast` number, since 1 + 86 + 4 + 81 + 418 + 76 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1728896400 + 16919245476 = 41580^2 + 130074^2 .

It is a congruent number.

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, 2036380 + ... + 2045516.

It is an arithmetic number, because the mean of its divisors is an integer number (276493035).

Almost surely, 2^18648141876 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18648141876, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (29861247780).

18648141876 is an abundant number, since it is smaller than the sum of its proper divisors (41074353684).

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

18648141876 is a wasteful number, since it uses less digits than its factorization.

18648141876 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9263 (or 9251 counting only the distinct ones).

The product of its digits is 2064384, while the sum is 54.

The spelling of 18648141876 in words is "eighteen billion, six hundred forty-eight million, one hundred forty-one thousand, eight hundred seventy-six".