114525244531152 has 800 divisors, whose sum is σ = 429928740299520. Its totient is φ = 28581779128320.

The previous prime is 114525244531151. The next prime is 114525244531163. The reversal of 114525244531152 is 251135442525411.

114525244531152 is a `hidden beast` number, since 1 + 1 + 4 + 5 + 2 + 52 + 445 + 3 + 1 + 152 = 666.

It is a super-2 number, since 2×114525244531152² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114525244531098 and 114525244531107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114525244531151) 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 159 ways as a sum of consecutive naturals, for example, 1974101698 + ... + 1974159710.

Almost surely, 2^{114525244531152} is an apocalyptic number.

114525244531152 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 114525244531152, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (214964370149760).

114525244531152 is an abundant number, since it is smaller than the sum of its proper divisors (315403495768368).

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

114525244531152 is a wasteful number, since it uses less digits than its factorization.

114525244531152 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 58953 (or 58938 counting only the distinct ones).

The product of its digits is 960000, while the sum is 45.

The spelling of 114525244531152 in words is "one hundred fourteen trillion, five hundred twenty-five billion, two hundred forty-four million, five hundred thirty-one thousand, one hundred fifty-two".