1074649996992 has 224 divisors, whose sum is σ = 3455622938880. Its totient is φ = 290235617280.

The previous prime is 1074649996967. The next prime is 1074649996993. The reversal of 1074649996992 is 2996999464701.

It is a happy number.

It is not an unprimeable number, because it can be changed into a prime (1074649996993) 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 31 ways as a sum of consecutive naturals, for example, 121383 + ... + 1471065.

It is an arithmetic number, because the mean of its divisors is an integer number (15426888120).

Almost surely, 2^{1074649996992} is an apocalyptic number.

1074649996992 is a gapful number since it is divisible by the number (12) 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 1074649996992, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1727811469440).

1074649996992 is an abundant number, since it is smaller than the sum of its proper divisors (2380972941888).

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

1074649996992 is a wasteful number, since it uses less digits than its factorization.

1074649996992 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1349751 (or 1349741 counting only the distinct ones).

The product of its (nonzero) digits is 476171136, while the sum is 75.

The spelling of 1074649996992 in words is "one trillion, seventy-four billion, six hundred forty-nine million, nine hundred ninety-six thousand, nine hundred ninety-two".