1006114164996 has 48 divisors (see below), whose sum is σ = 2431105524288. Its totient is φ = 323649456000.

The previous prime is 1006114164961. The next prime is 1006114164997. The reversal of 1006114164996 is 6994614116001.

It is not an unprimeable number, because it can be changed into a prime (1006114164997) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 12927930 + ... + 13005521.

It is an arithmetic number, because the mean of its divisors is an integer number (50648031756).

Almost surely, 2^{1006114164996} is an apocalyptic number.

It is an amenable number.

1006114164996 is an abundant number, since it is smaller than the sum of its proper divisors (1424991359292).

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

1006114164996 is a wasteful number, since it uses less digits than its factorization.

1006114164996 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 25933572 (or 25933570 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 48.

The spelling of 1006114164996 in words is "one trillion, six billion, one hundred fourteen million, one hundred sixty-four thousand, nine hundred ninety-six".