11427438672 has 120 divisors (see below), whose sum is σ = 34856456544. Its totient is φ = 3473724672.

The previous prime is 11427438623. The next prime is 11427438731. The reversal of 11427438672 is 27683472411.

11427438672 is a `hidden beast` number, since 1 + 142 + 7 + 438 + 6 + 72 = 666.

It is a super-2 number, since 2×11427438672² (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 118603 + ... + 192149.

Almost surely, 2^11427438672 is an apocalyptic number.

11427438672 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 11427438672, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17428228272).

11427438672 is an abundant number, since it is smaller than the sum of its proper divisors (23429017872).

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

11427438672 is a wasteful number, since it uses less digits than its factorization.

11427438672 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73657 (or 73648 counting only the distinct ones).

The product of its digits is 451584, while the sum is 45.

The spelling of 11427438672 in words is "eleven billion, four hundred twenty-seven million, four hundred thirty-eight thousand, six hundred seventy-two".