11914739424 has 288 divisors, whose sum is σ = 39783744000. Its totient is φ = 3312202752.

The previous prime is 11914739411. The next prime is 11914739449. The reversal of 11914739424 is 42493741911.

11914739424 is a `hidden beast` number, since 1 + 1 + 91 + 473 + 94 + 2 + 4 = 666.

11914739424 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×11914739424² (a number of 21 digits) contains 22 as substring.

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 11914739424.

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 47 ways as a sum of consecutive naturals, for example, 12964437 + ... + 12965355.

It is an arithmetic number, because the mean of its divisors is an integer number (138138000).

Almost surely, 2^11914739424 is an apocalyptic number.

11914739424 is a gapful number since it is divisible by the number (14) 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 11914739424, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19891872000).

11914739424 is an abundant number, since it is smaller than the sum of its proper divisors (27869004576).

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

11914739424 is a wasteful number, since it uses less digits than its factorization.

11914739424 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1110 (or 1099 counting only the distinct ones).

The product of its digits is 217728, while the sum is 45.

The spelling of 11914739424 in words is "eleven billion, nine hundred fourteen million, seven hundred thirty-nine thousand, four hundred twenty-four".