11029682829648 has 480 divisors, whose sum is σ = 35188082104320. Its totient is φ = 2962166000640.

The previous prime is 11029682829643. The next prime is 11029682829713. The reversal of 11029682829648 is 84692828692011.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11029682829643) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1217534143 + ... + 1217543201.

It is an arithmetic number, because the mean of its divisors is an integer number (73308504384).

Almost surely, 2^{11029682829648} 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 11029682829648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17594041052160).

11029682829648 is an abundant number, since it is smaller than the sum of its proper divisors (24158399274672).

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

11029682829648 is a wasteful number, since it uses less digits than its factorization.

11029682829648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9495 (or 9482 counting only the distinct ones).

The product of its (nonzero) digits is 47775744, while the sum is 66.

The spelling of 11029682829648 in words is "eleven trillion, twenty-nine billion, six hundred eighty-two million, eight hundred twenty-nine thousand, six hundred forty-eight".