11266548736 has 99 divisors (see below), whose sum is σ = 23491578747. Its totient is φ = 5400606720.

The previous prime is 11266548701. The next prime is 11266548743. The reversal of 11266548736 is 63784566211.

The square root of 11266548736 is 106144.

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

It is a Duffinian number.

Its product of digits (1451520) is a multiple of the sum of its prime divisors (140).

It is a self number, because there is not a number n which added to its sum of digits gives 11266548736.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 105294795 + ... + 105294901.

Almost surely, 2^11266548736 is an apocalyptic number.

11266548736 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

11266548736 is the 106144-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11266548736

11266548736 is an abundant number, since it is smaller than the sum of its proper divisors (12225030011).

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

11266548736 is an frugal number, since it uses more digits than its factorization.

11266548736 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 296 (or 140 counting only the distinct ones).

The product of its digits is 1451520, while the sum is 49.

Multiplying 11266548736 by its sum of digits (49), we get a square (552060888064 = 743008²).

The spelling of 11266548736 in words is "eleven billion, two hundred sixty-six million, five hundred forty-eight thousand, seven hundred thirty-six".