11729364354720 has 144 divisors (see below), whose sum is σ = 40201245007560. Its totient is φ = 3114171758592.

The previous prime is 11729364354713. The next prime is 11729364354731. The reversal of 11729364354720 is 2745346392711.

11729364354720 is a `hidden beast` number, since 1 + 1 + 7 + 2 + 9 + 36 + 43 + 547 + 20 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 9361323498384 + 2368040856336 = 3059628^2 + 1538844^2 .

It is a tau number, because it is divible by the number of its divisors (144).

It is a super-3 number, since 3×11729364354720³ (a number of 40 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

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 23 ways as a sum of consecutive naturals, for example, 17454939 + ... + 18114458.

Almost surely, 2^{11729364354720} is an apocalyptic number.

11729364354720 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

11729364354720 is an abundant number, since it is smaller than the sum of its proper divisors (28471880652840).

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

11729364354720 is a wasteful number, since it uses less digits than its factorization.

11729364354720 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35569647 (or 35569636 counting only the distinct ones).

The product of its (nonzero) digits is 7620480, while the sum is 54.

The spelling of 11729364354720 in words is "eleven trillion, seven hundred twenty-nine billion, three hundred sixty-four million, three hundred fifty-four thousand, seven hundred twenty".