11654317272 has 64 divisors (see below), whose sum is σ = 31399200000. Its totient is φ = 3583407744.

The previous prime is 11654317267. The next prime is 11654317291. The reversal of 11654317272 is 27271345611.

11654317272 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a super-2 number, since 2×11654317272² (a number of 21 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 11654317272.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 455229 + ... + 480147.

It is an arithmetic number, because the mean of its divisors is an integer number (490612500).

Almost surely, 2^11654317272 is an apocalyptic number.

11654317272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11654317272 is an abundant number, since it is smaller than the sum of its proper divisors (19744882728).

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

11654317272 is a wasteful number, since it uses less digits than its factorization.

11654317272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 26440 (or 26436 counting only the distinct ones).

The product of its digits is 70560, while the sum is 39.

The spelling of 11654317272 in words is "eleven billion, six hundred fifty-four million, three hundred seventeen thousand, two hundred seventy-two".