114603391728 has 480 divisors, whose sum is σ = 408602847744. Its totient is φ = 30349541376.

The previous prime is 114603391717. The next prime is 114603391729. The reversal of 114603391728 is 827193306411.

114603391728 is a `hidden beast` number, since 1 + 1 + 4 + 603 + 3 + 9 + 17 + 28 = 666.

It is a super-2 number, since 2×114603391728² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114603391729) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 30997176 + ... + 31000872.

Almost surely, 2^114603391728 is an apocalyptic number.

114603391728 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 114603391728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (204301423872).

114603391728 is an abundant number, since it is smaller than the sum of its proper divisors (293999456016).

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

114603391728 is a wasteful number, since it uses less digits than its factorization.

114603391728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3811 (or 3793 counting only the distinct ones).

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

The spelling of 114603391728 in words is "one hundred fourteen billion, six hundred three million, three hundred ninety-one thousand, seven hundred twenty-eight".