998911630080 has 2304 divisors, whose sum is σ = 4675625472000. Its totient is φ = 196071653376.

The previous prime is 998911630037. The next prime is 998911630103. The reversal of 998911630080 is 80036119899.

It is a tau number, because it is divible by the number of its divisors (2304).

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

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

It is a junction number, because it is equal to n+sod(n) for n = 998911629999 and 998911630026.

It is an unprimeable number.

It is a polite number, since it can be written in 255 ways as a sum of consecutive naturals, for example, 4362059406 + ... + 4362059634.

Almost surely, 2^998911630080 is an apocalyptic number.

998911630080 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 998911630080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2337812736000).

998911630080 is an abundant number, since it is smaller than the sum of its proper divisors (3676713841920).

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

998911630080 is a wasteful number, since it uses less digits than its factorization.

998911630080 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 371 (or 351 counting only the distinct ones).

The product of its (nonzero) digits is 839808, while the sum is 54.

The spelling of 998911630080 in words is "nine hundred ninety-eight billion, nine hundred eleven million, six hundred thirty thousand, eighty".