11693554733056 has 351 divisors, whose sum is σ = 28960840467759. Its totient is φ = 4706222997504.

The previous prime is 11693554733051. The next prime is 11693554733059. The reversal of 11693554733056 is 65033745539611.

The square root of 11693554733056 is 3419584.

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

It can be written as a sum of positive squares in 4 ways, for example, as 1836567040000 + 9856987693056 = 1355200^2 + 3139584^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (11693554733051) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 26043551520 + ... + 26043551968.

Almost surely, 2^{11693554733056} is an apocalyptic number.

11693554733056 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11693554733056 is the 3419584-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11693554733056

11693554733056 is an abundant number, since it is smaller than the sum of its proper divisors (17267285734703).

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

11693554733056 is an frugal number, since it uses more digits than its factorization.

11693554733056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 970 (or 475 counting only the distinct ones).

The product of its (nonzero) digits is 30618000, while the sum is 58.

The spelling of 11693554733056 in words is "eleven trillion, six hundred ninety-three billion, five hundred fifty-four million, seven hundred thirty-three thousand, fifty-six".