11726631460272 has 80 divisors (see below), whose sum is σ = 32246503056000. Its totient is φ = 3661538360832.

The previous prime is 11726631460261. The next prime is 11726631460279. The reversal of 11726631460272 is 27206413662711.

It is a super-2 number, since 2×11726631460272² (a number of 27 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (48).

It is not an unprimeable number, because it can be changed into a prime (11726631460279) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 72155622 + ... + 72317957.

It is an arithmetic number, because the mean of its divisors is an integer number (403081288200).

Almost surely, 2^{11726631460272} is an apocalyptic number.

11726631460272 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

11726631460272 is an abundant number, since it is smaller than the sum of its proper divisors (20519871595728).

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

11726631460272 is a wasteful number, since it uses less digits than its factorization.

11726631460272 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 144473698 (or 144473692 counting only the distinct ones).

The product of its (nonzero) digits is 1016064, while the sum is 48.

The spelling of 11726631460272 in words is "eleven trillion, seven hundred twenty-six billion, six hundred thirty-one million, four hundred sixty thousand, two hundred seventy-two".