996930462528 has 1344 divisors, whose sum is σ = 4213934419968. Its totient is φ = 224904314880.

The previous prime is 996930462527. The next prime is 996930462551. The reversal of 996930462528 is 825264039699.

996930462528 is a `hidden beast` number, since 9 + 9 + 69 + 3 + 0 + 46 + 2 + 528 = 666.

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

It is a super-3 number, since 3×996930462528³ (a number of 37 digits) contains 333 as substring.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (996930462527) by changing a digit.

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 191 ways as a sum of consecutive naturals, for example, 264646501 + ... + 264650267.

It is an arithmetic number, because the mean of its divisors is an integer number (3135367872).

Almost surely, 2^996930462528 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 996930462528, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2106967209984).

996930462528 is an abundant number, since it is smaller than the sum of its proper divisors (3217003957440).

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

996930462528 is a wasteful number, since it uses less digits than its factorization.

996930462528 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3842 (or 3820 counting only the distinct ones).

The product of its (nonzero) digits is 50388480, while the sum is 63.

The spelling of 996930462528 in words is "nine hundred ninety-six billion, nine hundred thirty million, four hundred sixty-two thousand, five hundred twenty-eight".