11614393728 has 192 divisors, whose sum is σ = 38260404000. Its totient is φ = 3312820224.

The previous prime is 11614393711. The next prime is 11614393733. The reversal of 11614393728 is 82739341611.

11614393728 is a `hidden beast` number, since 1 + 1 + 614 + 3 + 9 + 3 + 7 + 28 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a super-3 number, since 3×11614393728³ (a number of 31 digits) contains 333 as substring.

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

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8458450 + ... + 8459822.

Almost surely, 2^11614393728 is an apocalyptic number.

11614393728 is a gapful number since it is divisible by the number (18) 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 11614393728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (19130202000).

11614393728 is an abundant number, since it is smaller than the sum of its proper divisors (26646010272).

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

11614393728 is a wasteful number, since it uses less digits than its factorization.

11614393728 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2449 (or 2434 counting only the distinct ones).

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

The spelling of 11614393728 in words is "eleven billion, six hundred fourteen million, three hundred ninety-three thousand, seven hundred twenty-eight".