18128345760 has 864 divisors, whose sum is σ = 77240217600. Its totient is φ = 3869171712.

The previous prime is 18128345717. The next prime is 18128345761. The reversal of 18128345760 is 6754382181.

18128345760 is a `hidden beast` number, since 18 + 128 + 3 + 457 + 60 = 666.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (18128345761) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 142742817 + ... + 142742943.

It is an arithmetic number, because the mean of its divisors is an integer number (89398400).

Almost surely, 2^18128345760 is an apocalyptic number.

18128345760 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 18128345760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (38620108800).

18128345760 is an abundant number, since it is smaller than the sum of its proper divisors (59111871840).

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

18128345760 is a wasteful number, since it uses less digits than its factorization.

18128345760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 161 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 18128345760 in words is "eighteen billion, one hundred twenty-eight million, three hundred forty-five thousand, seven hundred sixty".