11301418960 has 80 divisors (see below), whose sum is σ = 28831060944. Its totient is φ = 4094078976.

The previous prime is 11301418949. The next prime is 11301418979. The reversal of 11301418960 is 6981410311.

It can be written as a sum of positive squares in 8 ways, for example, as 366952336 + 10934466624 = 19156^2 + 104568^2 .

It is a tau number, because it is divible by the number of its divisors (80).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 47397 + ... + 157636.

Almost surely, 2^11301418960 is an apocalyptic number.

11301418960 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11301418960 is an abundant number, since it is smaller than the sum of its proper divisors (17529641984).

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

11301418960 is a wasteful number, since it uses less digits than its factorization.

11301418960 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 205112 (or 205106 counting only the distinct ones).

The product of its (nonzero) digits is 5184, while the sum is 34.

The spelling of 11301418960 in words is "eleven billion, three hundred one million, four hundred eighteen thousand, nine hundred sixty".