984150000000 has 720 divisors, whose sum is σ = 3676082102220. Its totient is φ = 262440000000.

The previous prime is 984149999971. The next prime is 984150000077. The reversal of 984150000000 is 51489.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 196829999998 + ... + 196830000002.

Almost surely, 2^984150000000 is an apocalyptic number.

984150000000 is a gapful number since it is divisible by the number (90) 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 984150000000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1838041051110).

984150000000 is an abundant number, since it is smaller than the sum of its proper divisors (2691932102220).

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

984150000000 is an frugal number, since it uses more digits than its factorization.

984150000000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81 (or 10 counting only the distinct ones).

The product of its (nonzero) digits is 1440, while the sum is 27.

Adding to 984150000000 its reverse (51489), we get a palindrome (984150051489).

The spelling of 984150000000 in words is "nine hundred eighty-four billion, one hundred fifty million", and thus it is an aban number.