1074368509648 has 120 divisors (see below), whose sum is σ = 2431075000200. Its totient is φ = 458615291904.

The previous prime is 1074368509637. The next prime is 1074368509757. The reversal of 1074368509648 is 8469058634701.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 720210217104 + 354158292544 = 848652^2 + 595112^2 .

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 246582286 + ... + 246586642.

It is an arithmetic number, because the mean of its divisors is an integer number (20258958335).

Almost surely, 2^{1074368509648} 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 1074368509648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1215537500100).

1074368509648 is an abundant number, since it is smaller than the sum of its proper divisors (1356706490552).

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

1074368509648 is a wasteful number, since it uses less digits than its factorization.

1074368509648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5557 (or 5544 counting only the distinct ones).

The product of its (nonzero) digits is 34836480, while the sum is 61.

The spelling of 1074368509648 in words is "one trillion, seventy-four billion, three hundred sixty-eight million, five hundred nine thousand, six hundred forty-eight".