11145454320 has 640 divisors, whose sum is σ = 49136855040. Its totient is φ = 2011299840.

The previous prime is 11145454301. The next prime is 11145454351. The reversal of 11145454320 is 2345454111.

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 4082716 + ... + 4085444.

It is an arithmetic number, because the mean of its divisors is an integer number (76776336).

Almost surely, 2^11145454320 is an apocalyptic number.

11145454320 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11145454320, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24568427520).

11145454320 is an abundant number, since it is smaller than the sum of its proper divisors (37991400720).

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

11145454320 is a wasteful number, since it uses less digits than its factorization.

11145454320 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2793 (or 2787 counting only the distinct ones).

The product of its (nonzero) digits is 9600, while the sum is 30.

The spelling of 11145454320 in words is "eleven billion, one hundred forty-five million, four hundred fifty-four thousand, three hundred twenty".