11338470528000 has 2112 divisors, whose sum is σ = 48143943364608. Its totient is φ = 2318131200000.

The previous prime is 11338470527987. The next prime is 11338470528113. The reversal of 11338470528000 is 82507483311.

It is a tau number, because it is divible by the number of its divisors (2112).

It is a Harshad number since it is a multiple of its sum of digits (42).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 23092607755 + ... + 23092608245.

Almost surely, 2^{11338470528000} is an apocalyptic number.

11338470528000 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 11338470528000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (24071971682304).

11338470528000 is an abundant number, since it is smaller than the sum of its proper divisors (36805472836608).

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

11338470528000 is a wasteful number, since it uses less digits than its factorization.

11338470528000 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 629 (or 590 counting only the distinct ones).

The product of its (nonzero) digits is 161280, while the sum is 42.

The spelling of 11338470528000 in words is "eleven trillion, three hundred thirty-eight billion, four hundred seventy million, five hundred twenty-eight thousand".