996936450048 has 952 divisors, whose sum is σ = 3740820865536. Its totient is φ = 257989017600.

The previous prime is 996936449983. The next prime is 996936450109. The reversal of 996936450048 is 840054639699.

996936450048 is a `hidden beast` number, since 9 + 9 + 69 + 3 + 64 + 500 + 4 + 8 = 666.

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

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 3678732153 + ... + 3678732423.

Almost surely, 2^996936450048 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 996936450048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1870410432768).

996936450048 is an abundant number, since it is smaller than the sum of its proper divisors (2743884415488).

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

996936450048 is an frugal number, since it uses more digits than its factorization.

996936450048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 339 (or 294 counting only the distinct ones).

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

The spelling of 996936450048 in words is "nine hundred ninety-six billion, nine hundred thirty-six million, four hundred fifty thousand, forty-eight".