11031723648 has 192 divisors, whose sum is σ = 34736532480. Its totient is φ = 3332751360.

The previous prime is 11031723617. The next prime is 11031723673. The reversal of 11031723648 is 84632713011.

It is a happy number.

11031723648 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 1 + 7 + 2 + 3 + 648 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4852240 + ... + 4854512.

It is an arithmetic number, because the mean of its divisors is an integer number (180919440).

Almost surely, 2^11031723648 is an apocalyptic number.

11031723648 is a gapful number since it is divisible by the number (18) 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 11031723648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17368266240).

11031723648 is an abundant number, since it is smaller than the sum of its proper divisors (23704808832).

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

11031723648 is a wasteful number, since it uses less digits than its factorization.

11031723648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2687 (or 2672 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The spelling of 11031723648 in words is "eleven billion, thirty-one million, seven hundred twenty-three thousand, six hundred forty-eight".