996965480448 has 960 divisors, whose sum is σ = 3637329696000. Its totient is φ = 265728688128.

The previous prime is 996965480417. The next prime is 996965480477. The reversal of 996965480448 is 844084569699.

996965480448 is a `hidden beast` number, since 9 + 96 + 96 + 5 + 4 + 8 + 0 + 448 = 666.

It is a super-2 number, since 2×996965480448² (a number of 25 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1610606283 + ... + 1610606901.

It is an arithmetic number, because the mean of its divisors is an integer number (3788885100).

Almost surely, 2^996965480448 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 996965480448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1818664848000).

996965480448 is an abundant number, since it is smaller than the sum of its proper divisors (2640364215552).

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

996965480448 is a wasteful number, since it uses less digits than its factorization.

996965480448 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 752 (or 723 counting only the distinct ones).

The product of its (nonzero) digits is 537477120, while the sum is 72.

The spelling of 996965480448 in words is "nine hundred ninety-six billion, nine hundred sixty-five million, four hundred eighty thousand, four hundred forty-eight".