114573531072 has 504 divisors, whose sum is σ = 416624487552. Its totient is φ = 27465984000.

The previous prime is 114573531071. The next prime is 114573531119. The reversal of 114573531072 is 270135375411.

It is a Harshad number since it is a multiple of its sum of digits (39).

It is a self number, because there is not a number n which added to its sum of digits gives 114573531072.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114573531071) 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 71 ways as a sum of consecutive naturals, for example, 17486197 + ... + 17492747.

It is an arithmetic number, because the mean of its divisors is an integer number (826635888).

Almost surely, 2^114573531072 is an apocalyptic number.

114573531072 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 114573531072, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (208312243776).

114573531072 is an abundant number, since it is smaller than the sum of its proper divisors (302050956480).

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

114573531072 is a wasteful number, since it uses less digits than its factorization.

114573531072 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6617 (or 6587 counting only the distinct ones).

The product of its (nonzero) digits is 88200, while the sum is 39.

The spelling of 114573531072 in words is "one hundred fourteen billion, five hundred seventy-three million, five hundred thirty-one thousand, seventy-two".