990047548224 has 672 divisors, whose sum is σ = 3717422242560. Its totient is φ = 252200189952.

The previous prime is 990047548211. The next prime is 990047548283. The reversal of 990047548224 is 422845740099.

It is a happy number.

990047548224 is a `hidden beast` number, since 9 + 90 + 0 + 4 + 7 + 548 + 2 + 2 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (672).

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 74226484 + ... + 74239820.

Almost surely, 2^990047548224 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 990047548224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1858711121280).

990047548224 is an abundant number, since it is smaller than the sum of its proper divisors (2727374694336).

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

990047548224 is a wasteful number, since it uses less digits than its factorization.

990047548224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13420 (or 13385 counting only the distinct ones).

The product of its (nonzero) digits is 5806080, while the sum is 54.

The spelling of 990047548224 in words is "nine hundred ninety billion, forty-seven million, five hundred forty-eight thousand, two hundred twenty-four".