11228172648 has 256 divisors, whose sum is σ = 37234391040. Its totient is φ = 2731622400.

The previous prime is 11228172523. The next prime is 11228172671. The reversal of 11228172648 is 84627182211.

It is a super-5 number, since 5×11228172648⁵ (a number of 51 digits) contains 55555 as substring. Note that it is a super-d number also for d = 2.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a nude number because it is divisible by every one of its digits.

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 63 ways as a sum of consecutive naturals, for example, 7570515 + ... + 7571997.

It is an arithmetic number, because the mean of its divisors is an integer number (145446840).

Almost surely, 2^11228172648 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 11228172648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18617195520).

11228172648 is an abundant number, since it is smaller than the sum of its proper divisors (26006218392).

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

11228172648 is a wasteful number, since it uses less digits than its factorization.

11228172648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1768 (or 1764 counting only the distinct ones).

The product of its digits is 86016, while the sum is 42.

The spelling of 11228172648 in words is "eleven billion, two hundred twenty-eight million, one hundred seventy-two thousand, six hundred forty-eight".