11024244741664 has 384 divisors, whose sum is σ = 29741993164800. Its totient is φ = 3889579668480.

The previous prime is 11024244741659. The next prime is 11024244741677. The reversal of 11024244741664 is 46614744242011.

It is a Harshad number since it is a multiple of its sum of digits (46).

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 2376424657 + ... + 2376429295.

It is an arithmetic number, because the mean of its divisors is an integer number (77453107200).

Almost surely, 2^{11024244741664} is an apocalyptic number.

11024244741664 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 11024244741664, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (14870996582400).

11024244741664 is an abundant number, since it is smaller than the sum of its proper divisors (18717748423136).

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

11024244741664 is a wasteful number, since it uses less digits than its factorization.

11024244741664 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6916 (or 6908 counting only the distinct ones).

The product of its (nonzero) digits is 1032192, while the sum is 46.

Adding to 11024244741664 its reverse (46614744242011), we get a palindrome (57638988983675).

The spelling of 11024244741664 in words is "eleven trillion, twenty-four billion, two hundred forty-four million, seven hundred forty-one thousand, six hundred sixty-four".