11334712032 has 288 divisors, whose sum is σ = 38217553920. Its totient is φ = 3118279680.

The previous prime is 11334712021. The next prime is 11334712061. The reversal of 11334712032 is 23021743311.

It is a happy number.

11334712032 is a `hidden beast` number, since 113 + 347 + 1 + 203 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a junction number, because it is equal to n+sod(n) for n = 11334711987 and 11334712005.

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, 18311019 + ... + 18311637.

It is an arithmetic number, because the mean of its divisors is an integer number (132699840).

Almost surely, 2^11334712032 is an apocalyptic number.

11334712032 is a gapful number since it is divisible by the number (12) 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 11334712032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19108776960).

11334712032 is an abundant number, since it is smaller than the sum of its proper divisors (26882841888).

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

11334712032 is a wasteful number, since it uses less digits than its factorization.

11334712032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 966 (or 955 counting only the distinct ones).

The product of its (nonzero) digits is 3024, while the sum is 27.

The spelling of 11334712032 in words is "eleven billion, three hundred thirty-four million, seven hundred twelve thousand, thirty-two".