998741664 has 216 divisors, whose sum is σ = 3035436768. Its totient is φ = 323326080.

The previous prime is 998741651. The next prime is 998741717. The reversal of 998741664 is 466147899.

998741664 is a `hidden beast` number, since 99 + 87 + 416 + 64 = 666.

998741664 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (216).

It is a super-2 number, since 2×998741664² = 1994969822818977792, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 998741664.

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 14066749 + ... + 14066819.

It is an arithmetic number, because the mean of its divisors is an integer number (14052948).

Almost surely, 2^998741664 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 998741664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1517718384).

998741664 is an abundant number, since it is smaller than the sum of its proper divisors (2036695104).

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

998741664 is an frugal number, since it uses more digits than its factorization.

998741664 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 172 (or 143 counting only the distinct ones).

The product of its digits is 2612736, while the sum is 54.

The square root of 998741664 is about 31602.8742996583. The cubic root of 998741664 is about 999.5803786092.

The spelling of 998741664 in words is "nine hundred ninety-eight million, seven hundred forty-one thousand, six hundred sixty-four".