11623523025114 has 256 divisors, whose sum is σ = 34691486699520. Its totient is φ = 2786008608000.

The previous prime is 11623523025089. The next prime is 11623523025131. The reversal of 11623523025114 is 41152032532611.

11623523025114 is a `hidden beast` number, since 1 + 1 + 6 + 235 + 2 + 302 + 5 + 114 = 666.

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 187049829 + ... + 187111959.

It is an arithmetic number, because the mean of its divisors is an integer number (135513619920).

Almost surely, 2^{11623523025114} is an apocalyptic number.

11623523025114 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 11623523025114, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (17345743349760).

11623523025114 is an abundant number, since it is smaller than the sum of its proper divisors (23067963674406).

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

11623523025114 is a wasteful number, since it uses less digits than its factorization.

11623523025114 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 65634 (or 65628 counting only the distinct ones).

The product of its (nonzero) digits is 43200, while the sum is 36.

Adding to 11623523025114 its reverse (41152032532611), we get a palindrome (52775555557725).

The spelling of 11623523025114 in words is "eleven trillion, six hundred twenty-three billion, five hundred twenty-three million, twenty-five thousand, one hundred fourteen".