11300273881744 has 135 divisors (see below), whose sum is σ = 23307862510569. Its totient is φ = 5307006207360.

The previous prime is 11300273881733. The next prime is 11300273881759. The reversal of 11300273881744 is 44718837200311.

The square root of 11300273881744 is 3361588.

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., 367463891344 + 10932809990400 = 606188^2 + 3306480^2 .

It is a Duffinian number.

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 18865231557 + ... + 18865232155.

Almost surely, 2^{11300273881744} is an apocalyptic number.

11300273881744 is the 3361588-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11300273881744

11300273881744 is an abundant number, since it is smaller than the sum of its proper divisors (12007588628825).

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

11300273881744 is an frugal number, since it uses more digits than its factorization.

11300273881744 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1374 (or 685 counting only the distinct ones).

The product of its (nonzero) digits is 903168, while the sum is 49.

Multiplying 11300273881744 by its sum of digits (49), we get a square (553713420205456 = 23531116²).

The spelling of 11300273881744 in words is "eleven trillion, three hundred billion, two hundred seventy-three million, eight hundred eighty-one thousand, seven hundred forty-four".