1113734072896 has 189 divisors, whose sum is σ = 2395633547433. Its totient is φ = 513653137920.

The previous prime is 1113734072879. The next prime is 1113734072911. The reversal of 1113734072896 is 6982704373111.

It is a happy number.

The square root of 1113734072896 is 1055336.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 802887681600 + 310846391296 = 896040^2 + 557536^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8501786751 + ... + 8501786881.

Almost surely, 2^{1113734072896} is an apocalyptic number.

1113734072896 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1113734072896 is the 1055336-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1113734072896

1113734072896 is an abundant number, since it is smaller than the sum of its proper divisors (1281899474537).

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

1113734072896 is an frugal number, since it uses more digits than its factorization.

1113734072896 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 418 (or 205 counting only the distinct ones).

The product of its (nonzero) digits is 1524096, while the sum is 52.

The spelling of 1113734072896 in words is "one trillion, one hundred thirteen billion, seven hundred thirty-four million, seventy-two thousand, eight hundred ninety-six".