996144117696 has 1344 divisors, whose sum is σ = 3795991879680. Its totient is φ = 242740592640.

The previous prime is 996144117673. The next prime is 996144117701. The reversal of 996144117696 is 696711441699.

996144117696 is a `hidden beast` number, since 9 + 9 + 61 + 4 + 411 + 76 + 96 = 666.

It is a tau number, because it is divible by the number of its divisors (1344).

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

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3703137850 + ... + 3703138118.

It is an arithmetic number, because the mean of its divisors is an integer number (2824398720).

Almost surely, 2^996144117696 is an apocalyptic number.

996144117696 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 996144117696, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1897995939840).

996144117696 is an abundant number, since it is smaller than the sum of its proper divisors (2799847761984).

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

996144117696 is a wasteful number, since it uses less digits than its factorization.

996144117696 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 434 (or 421 counting only the distinct ones).

The product of its digits is 17635968, while the sum is 63.

The spelling of 996144117696 in words is "nine hundred ninety-six billion, one hundred forty-four million, one hundred seventeen thousand, six hundred ninety-six".