11034994824 has 240 divisors, whose sum is σ = 36136417680. Its totient is φ = 3136916160.

The previous prime is 11034994823. The next prime is 11034994847. The reversal of 11034994824 is 42849943011.

11034994824 is a `hidden beast` number, since 110 + 3 + 499 + 48 + 2 + 4 = 666.

It is a super-2 number, since 2×11034994824² (a number of 21 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 11034994824.

It is not an unprimeable number, because it can be changed into a prime (11034994823) by changing a digit.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 7206939 + ... + 7208469.

It is an arithmetic number, because the mean of its divisors is an integer number (150568407).

Almost surely, 2^11034994824 is an apocalyptic number.

11034994824 is a gapful number since it is divisible by the number (14) 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 11034994824, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (18068208840).

11034994824 is an abundant number, since it is smaller than the sum of its proper divisors (25101422856).

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

11034994824 is a wasteful number, since it uses less digits than its factorization.

11034994824 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1790 (or 1770 counting only the distinct ones).

The product of its (nonzero) digits is 248832, while the sum is 45.

The spelling of 11034994824 in words is "eleven billion, thirty-four million, nine hundred ninety-four thousand, eight hundred twenty-four".