11448954720 has 1152 divisors, whose sum is σ = 50721914880. Its totient is φ = 2381322240.

The previous prime is 11448954719. The next prime is 11448954761. The reversal of 11448954720 is 2745984411.

11448954720 is a `hidden beast` number, since 1 + 1 + 4 + 4 + 89 + 547 + 20 = 666.

It is a super-2 number, since 2×11448954720² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 194050051 + ... + 194050109.

It is an arithmetic number, because the mean of its divisors is an integer number (44029440).

Almost surely, 2^11448954720 is an apocalyptic number.

11448954720 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 11448954720, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (25360957440).

11448954720 is an abundant number, since it is smaller than the sum of its proper divisors (39272960160).

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

11448954720 is a wasteful number, since it uses less digits than its factorization.

11448954720 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 150 (or 130 counting only the distinct ones).

The product of its (nonzero) digits is 322560, while the sum is 45.

The spelling of 11448954720 in words is "eleven billion, four hundred forty-eight million, nine hundred fifty-four thousand, seven hundred twenty".