11334613441632 has 96 divisors (see below), whose sum is σ = 32073162589440. Its totient is φ = 3484190261760.

The previous prime is 11334613441631. The next prime is 11334613441663. The reversal of 11334613441632 is 23614431643311.

It is a tau number, because it is divible by the number of its divisors (96).

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (11334613441631) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3117882 + ... + 5691257.

It is an arithmetic number, because the mean of its divisors is an integer number (334095443640).

Almost surely, 2^{11334613441632} is an apocalyptic number.

11334613441632 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11334613441632 is an abundant number, since it is smaller than the sum of its proper divisors (20738549147808).

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

11334613441632 is a wasteful number, since it uses less digits than its factorization.

11334613441632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8810196 (or 8810188 counting only the distinct ones).

The product of its digits is 373248, while the sum is 42.

The spelling of 11334613441632 in words is "eleven trillion, three hundred thirty-four billion, six hundred thirteen million, four hundred forty-one thousand, six hundred thirty-two".