11007330048 has 216 divisors, whose sum is σ = 37286361840. Its totient is φ = 3078881280.

The previous prime is 11007330043. The next prime is 11007330049. The reversal of 11007330048 is 84003370011.

It is a super-2 number, since 2×11007330048² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11007330043) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 312768 + ... + 346176.

Almost surely, 2^11007330048 is an apocalyptic number.

11007330048 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 11007330048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18643180920).

11007330048 is an abundant number, since it is smaller than the sum of its proper divisors (26279031792).

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

11007330048 is a wasteful number, since it uses less digits than its factorization.

11007330048 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 33455 (or 33438 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The spelling of 11007330048 in words is "eleven billion, seven million, three hundred thirty thousand, forty-eight".