1117752188644 has 243 divisors, whose sum is σ = 2548545135633. Its totient is φ = 427496299776.

The previous prime is 1117752188633. The next prime is 1117752188647. The reversal of 1117752188644 is 4468812577111.

The square root of 1117752188644 is 1057238.

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

It can be written as a sum of positive squares in 13 ways, for example, as 722755022500 + 394997166144 = 850150^2 + 628488^2 .

It is not an unprimeable number, because it can be changed into a prime (1117752188647) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7119440614 + ... + 7119440770.

Almost surely, 2^{1117752188644} is an apocalyptic number.

1117752188644 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1117752188644 is the 1057238-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1117752188644

1117752188644 is an abundant number, since it is smaller than the sum of its proper divisors (1430792946989).

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

1117752188644 is a wasteful number, since it uses less digits than its factorization.

1117752188644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 432 (or 216 counting only the distinct ones).

The product of its digits is 3010560, while the sum is 55.

The spelling of 1117752188644 in words is "one trillion, one hundred seventeen billion, seven hundred fifty-two million, one hundred eighty-eight thousand, six hundred forty-four".