996338158792704 has 1872 divisors, whose sum is σ = 3751757934567552. Its totient is φ = 252312381554688.

The previous prime is 996338158792681. The next prime is 996338158792709. The reversal of 996338158792704 is 407297851833699.

996338158792704 is a `hidden beast` number, since 9 + 9 + 6 + 3 + 3 + 8 + 1 + 587 + 9 + 27 + 0 + 4 = 666.

It is a tau number, because it is divible by the number of its divisors (1872).

It is a Smith number, since the sum of its digits (81) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996338158792709) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 58494570172 + ... + 58494587204.

It is an arithmetic number, because the mean of its divisors is an integer number (2004144195816).

It is a 2-persistent number, because it is pandigital, and so is 2⋅996338158792704 = 1992676317585408, but 3⋅996338158792704 = 2989014476378112 is not.

Almost surely, 2^{996338158792704} is an apocalyptic number.

996338158792704 is a gapful number since it is divisible by the number (94) 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 996338158792704, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1875878967283776).

996338158792704 is an abundant number, since it is smaller than the sum of its proper divisors (2755419775774848).

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

996338158792704 is a wasteful number, since it uses less digits than its factorization.

996338158792704 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17190 (or 17158 counting only the distinct ones).

The product of its (nonzero) digits is 4938071040, while the sum is 81.

The spelling of 996338158792704 in words is "nine hundred ninety-six trillion, three hundred thirty-eight billion, one hundred fifty-eight million, seven hundred ninety-two thousand, seven hundred four".