11338702848000 has 2448 divisors, whose sum is σ = 47514424478976. Its totient is φ = 2595225600000.

The previous prime is 11338702847987. The next prime is 11338702848017. The reversal of 11338702848000 is 84820783311.

11338702848000 is a `hidden beast` number, since 113 + 38 + 7 + 0 + 28 + 480 + 0 + 0 = 666.

It is a super-2 number, since 2×11338702848000² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 276553727980 + ... + 276553728020.

Almost surely, 2^{11338702848000} is an apocalyptic number.

11338702848000 is a gapful number since it is divisible by the number (10) 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 11338702848000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (23757212239488).

11338702848000 is an abundant number, since it is smaller than the sum of its proper divisors (36175721630976).

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

11338702848000 is an equidigital number, since it uses as much as digits as its factorization.

11338702848000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 147 (or 93 counting only the distinct ones).

The product of its (nonzero) digits is 258048, while the sum is 45.

The spelling of 11338702848000 in words is "eleven trillion, three hundred thirty-eight billion, seven hundred two million, eight hundred forty-eight thousand".