11023911262848 has 256 divisors, whose sum is σ = 32771486062080. Its totient is φ = 3255098880000.

The previous prime is 11023911262823. The next prime is 11023911262873. The reversal of 11023911262848 is 84826211932011.

It is an interprime number because it is at equal distance from previous prime (11023911262823) and next prime (11023911262873).

It is a super-2 number, since 2×11023911262848² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is a junction number, because it is equal to n+sod(n) for n = 11023911262797 and 11023911262806.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 27370123 + ... + 27769973.

It is an arithmetic number, because the mean of its divisors is an integer number (128013617430).

Almost surely, 2^{11023911262848} 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 11023911262848, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16385743031040).

11023911262848 is an abundant number, since it is smaller than the sum of its proper divisors (21747574799232).

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

11023911262848 is a wasteful number, since it uses less digits than its factorization.

11023911262848 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 400047 (or 400035 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 48.

The spelling of 11023911262848 in words is "eleven trillion, twenty-three billion, nine hundred eleven million, two hundred sixty-two thousand, eight hundred forty-eight".