114525716802432 has 192 divisors, whose sum is σ = 331081842746160. Its totient is φ = 35059801620480.

The previous prime is 114525716802383. The next prime is 114525716802437. The reversal of 114525716802432 is 234208617525411.

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

It is a super-2 number, since 2×114525716802432² (a number of 29 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114525716802437) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 8305432 + ... + 17263592.

Almost surely, 2^{114525716802432} is an apocalyptic number.

114525716802432 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 114525716802432, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (165540921373080).

114525716802432 is an abundant number, since it is smaller than the sum of its proper divisors (216556125943728).

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

114525716802432 is a wasteful number, since it uses less digits than its factorization.

114525716802432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8958401 (or 8958376 counting only the distinct ones).

The product of its (nonzero) digits is 3225600, while the sum is 51.

The spelling of 114525716802432 in words is "one hundred fourteen trillion, five hundred twenty-five billion, seven hundred sixteen million, eight hundred two thousand, four hundred thirty-two".