18141020928 has 288 divisors, whose sum is σ = 54966430400. Its totient is φ = 5900304384.

The previous prime is 18141020923. The next prime is 18141020939. The reversal of 18141020928 is 82902014181.

It is a happy number.

18141020928 is a `hidden beast` number, since 18 + 1 + 410 + 209 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is a junction number, because it is equal to n+sod(n) for n = 18141020892 and 18141020901.

It is not an unprimeable number, because it can be changed into a prime (18141020923) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79218318 + ... + 79218546.

Almost surely, 2^18141020928 is an apocalyptic number.

18141020928 is a gapful number since it is divisible by the number (18) 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 18141020928, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (27483215200).

18141020928 is an abundant number, since it is smaller than the sum of its proper divisors (36825409472).

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

18141020928 is a wasteful number, since it uses less digits than its factorization.

18141020928 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 484 (or 464 counting only the distinct ones).

The product of its (nonzero) digits is 9216, while the sum is 36.

The spelling of 18141020928 in words is "eighteen billion, one hundred forty-one million, twenty thousand, nine hundred twenty-eight".