998992512 has 288 divisors, whose sum is σ = 3413760480. Its totient is φ = 274627584.

The previous prime is 998992481. The next prime is 998992513. The reversal of 998992512 is 215299899.

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

It is a Smith number, since the sum of its digits (54) coincides with the sum of the digits of its prime factors.

Its product of digits (1049760) is a multiple of the sum of its prime factors (180).

It is not an unprimeable number, because it can be changed into a prime (998992513) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14910303 + ... + 14910369.

It is an arithmetic number, because the mean of its divisors is an integer number (11853335).

Almost surely, 2^998992512 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 998992512, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1706880240).

998992512 is an abundant number, since it is smaller than the sum of its proper divisors (2414767968).

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

998992512 is a wasteful number, since it uses less digits than its factorization.

998992512 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 180 (or 122 counting only the distinct ones).

The product of its digits is 1049760, while the sum is 54.

The square root of 998992512 is about 31606.8428034184. The cubic root of 998992512 is about 999.6640578222.

The spelling of 998992512 in words is "nine hundred ninety-eight million, nine hundred ninety-two thousand, five hundred twelve".