11332353672 has 48 divisors (see below), whose sum is σ = 30698516940. Its totient is φ = 3776623488.

The previous prime is 11332353631. The next prime is 11332353719. The reversal of 11332353672 is 27635323311.

11332353672 is a `hidden beast` number, since 1 + 1 + 33 + 23 + 536 + 72 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 11330750916 + 1602756 = 106446^2 + 1266^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 375198 + ... + 404274.

Almost surely, 2^11332353672 is an apocalyptic number.

11332353672 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11332353672 is an abundant number, since it is smaller than the sum of its proper divisors (19366163268).

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

11332353672 is a wasteful number, since it uses less digits than its factorization.

11332353672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34502 (or 34495 counting only the distinct ones).

The product of its digits is 68040, while the sum is 36.

Adding to 11332353672 its reverse (27635323311), we get a palindrome (38967676983).

The spelling of 11332353672 in words is "eleven billion, three hundred thirty-two million, three hundred fifty-three thousand, six hundred seventy-two".