11039463621648 has 640 divisors, whose sum is σ = 40457696256000. Its totient is φ = 2857070361600.

The previous prime is 11039463621607. The next prime is 11039463621671. The reversal of 11039463621648 is 84612636493011.

It is a happy number.

11039463621648 is a `hidden beast` number, since 1 + 1 + 0 + 3 + 9 + 4 + 6 + 3 + 621 + 6 + 4 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a junction number, because it is equal to n+sod(n) for n = 11039463621594 and 11039463621603.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 457999965 + ... + 458024067.

It is an arithmetic number, because the mean of its divisors is an integer number (63215150400).

Almost surely, 2^{11039463621648} is an apocalyptic number.

11039463621648 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 11039463621648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (20228848128000).

11039463621648 is an abundant number, since it is smaller than the sum of its proper divisors (29418232634352).

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

11039463621648 is a wasteful number, since it uses less digits than its factorization.

11039463621648 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 24433 (or 24407 counting only the distinct ones).

The product of its (nonzero) digits is 4478976, while the sum is 54.

The spelling of 11039463621648 in words is "eleven trillion, thirty-nine billion, four hundred sixty-three million, six hundred twenty-one thousand, six hundred forty-eight".