996883445376 has 512 divisors, whose sum is σ = 3738005913600. Its totient is φ = 254430720000.

The previous prime is 996883445359. The next prime is 996883445381. The reversal of 996883445376 is 673544388699.

996883445376 is a `hidden beast` number, since 9 + 9 + 6 + 8 + 83 + 4 + 4 + 537 + 6 = 666.

It is a super-3 number, since 3×996883445376³ (a number of 37 digits) contains 333 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 9698251 + ... + 9800501.

It is an arithmetic number, because the mean of its divisors is an integer number (7300792800).

Almost surely, 2^996883445376 is an apocalyptic number.

996883445376 is a gapful number since it is divisible by the number (96) 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 996883445376, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1869002956800).

996883445376 is an abundant number, since it is smaller than the sum of its proper divisors (2741122468224).

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

996883445376 is a wasteful number, since it uses less digits than its factorization.

996883445376 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 102325 (or 102307 counting only the distinct ones).

The product of its digits is 940584960, while the sum is 72.

The spelling of 996883445376 in words is "nine hundred ninety-six billion, eight hundred eighty-three million, four hundred forty-five thousand, three hundred seventy-six".