11735677332 has 96 divisors (see below), whose sum is σ = 32085043200. Its totient is φ = 3699310176.

The previous prime is 11735677307. The next prime is 11735677379. The reversal of 11735677332 is 23377653711.

11735677332 is a `hidden beast` number, since 1 + 17 + 3 + 567 + 73 + 3 + 2 = 666.

It is a super-2 number, since 2×11735677332² (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 31 ways as a sum of consecutive naturals, for example, 1199653 + ... + 1209395.

It is an arithmetic number, because the mean of its divisors is an integer number (334219200).

Almost surely, 2^11735677332 is an apocalyptic number.

11735677332 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 11735677332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (16042521600).

11735677332 is an abundant number, since it is smaller than the sum of its proper divisors (20349365868).

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

11735677332 is a wasteful number, since it uses less digits than its factorization.

11735677332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10362 (or 10354 counting only the distinct ones).

The product of its digits is 555660, while the sum is 45.

The spelling of 11735677332 in words is "eleven billion, seven hundred thirty-five million, six hundred seventy-seven thousand, three hundred thirty-two".