1089075913744 has 405 divisors, whose sum is σ = 2760930914391. Its totient is φ = 414763614720.

The previous prime is 1089075913729. The next prime is 1089075913747. The reversal of 1089075913744 is 4473195709801.

It is a happy number.

The square root of 1089075913744 is 1043588.

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 765870019600 + 323205894144 = 875140^2 + 568512^2 .

It is not an unprimeable number, because it can be changed into a prime (1089075913747) 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, 17853703474 + ... + 17853703534.

Almost surely, 2^{1089075913744} is an apocalyptic number.

1089075913744 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

1089075913744 is the 1043588-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1089075913744

1089075913744 is an abundant number, since it is smaller than the sum of its proper divisors (1671855000647).

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

1089075913744 is an equidigital number, since it uses as much as digits as its factorization.

1089075913744 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 264 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 58.

The spelling of 1089075913744 in words is "one trillion, eighty-nine billion, seventy-five million, nine hundred thirteen thousand, seven hundred forty-four".