1018316828160 has 320 divisors, whose sum is σ = 3619079703360. Its totient is φ = 271406039040.

The previous prime is 1018316828149. The next prime is 1018316828167. The reversal of 1018316828160 is 618286138101.

It is a tau number, because it is divible by the number of its divisors (320).

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 (1018316828167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 211573914 + ... + 211578726.

It is an arithmetic number, because the mean of its divisors is an integer number (11309624073).

Almost surely, 2^{1018316828160} is an apocalyptic number.

1018316828160 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 1018316828160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1809539851680).

1018316828160 is an abundant number, since it is smaller than the sum of its proper divisors (2600762875200).

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

1018316828160 is an equidigital number, since it uses as much as digits as its factorization.

1018316828160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7906 (or 7884 counting only the distinct ones).

The product of its (nonzero) digits is 110592, while the sum is 45.

The spelling of 1018316828160 in words is "one trillion, eighteen billion, three hundred sixteen million, eight hundred twenty-eight thousand, one hundred sixty".