998993556869616 has 2160 divisors, whose sum is σ = 3795596256291840. Its totient is φ = 244584284313600.

The previous prime is 998993556869527. The next prime is 998993556869647. The reversal of 998993556869616 is 616968655399899.

998993556869616 is a `hidden beast` number, since 9 + 9 + 8 + 99 + 355 + 68 + 6 + 96 + 16 = 666.

It is a Harshad number since it is a multiple of its sum of digits (99).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 478216158300 + ... + 478216160388.

It is an arithmetic number, because the mean of its divisors is an integer number (1757220489024).

Almost surely, 2^{998993556869616} 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 998993556869616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897798128145920).

998993556869616 is an abundant number, since it is smaller than the sum of its proper divisors (2796602699422224).

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

998993556869616 is a wasteful number, since it uses less digits than its factorization.

998993556869616 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2254 (or 2206 counting only the distinct ones).

The product of its digits is 367332019200, while the sum is 99.

The spelling of 998993556869616 in words is "nine hundred ninety-eight trillion, nine hundred ninety-three billion, five hundred fifty-six million, eight hundred sixty-nine thousand, six hundred sixteen".