998497463040 has 1152 divisors, whose sum is σ = 4537436682240. Its totient is φ = 201852518400.

The previous prime is 998497462993. The next prime is 998497463107. The reversal of 998497463040 is 40364794899.

998497463040 is a `hidden beast` number, since 9 + 9 + 84 + 97 + 463 + 0 + 4 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 98456370 + ... + 98466510.

It is an arithmetic number, because the mean of its divisors is an integer number (3938747120).

Almost surely, 2^998497463040 is an apocalyptic number.

998497463040 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 998497463040, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2268718341120).

998497463040 is an abundant number, since it is smaller than the sum of its proper divisors (3538939219200).

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

998497463040 is a wasteful number, since it uses less digits than its factorization.

998497463040 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10226 (or 10206 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 998497463040 in words is "nine hundred ninety-eight billion, four hundred ninety-seven million, four hundred sixty-three thousand, forty".