11432048064 has 336 divisors, whose sum is σ = 34033821696. Its totient is φ = 3375820800.

The previous prime is 11432048059. The next prime is 11432048083. The reversal of 11432048064 is 46084023411.

It is a super-2 number, since 2×11432048064² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 187410594 + ... + 187410654.

It is an arithmetic number, because the mean of its divisors is an integer number (101291136).

Almost surely, 2^11432048064 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 11432048064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17016910848).

11432048064 is an abundant number, since it is smaller than the sum of its proper divisors (22601773632).

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

11432048064 is a wasteful number, since it uses less digits than its factorization.

11432048064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 204 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 18432, while the sum is 33.

The spelling of 11432048064 in words is "eleven billion, four hundred thirty-two million, forty-eight thousand, sixty-four".