114531251551332 has 384 divisors, whose sum is σ = 358633070788608. Its totient is φ = 27537030604800.

The previous prime is 114531251551309. The next prime is 114531251551363. The reversal of 114531251551332 is 233155152135411.

114531251551332 is digitally balanced in base 3, because in such base it contains all the possibile digits an equal number of times.

It is a Harshad number since it is a multiple of its sum of digits (42).

It is an unprimeable number.

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 127 ways as a sum of consecutive naturals, for example, 290542407 + ... + 290936337.

It is an arithmetic number, because the mean of its divisors is an integer number (933940288512).

Almost surely, 2^{114531251551332} is an apocalyptic number.

114531251551332 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 114531251551332, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (179316535394304).

114531251551332 is an abundant number, since it is smaller than the sum of its proper divisors (244101819237276).

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

114531251551332 is a wasteful number, since it uses less digits than its factorization.

114531251551332 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 394279 (or 394277 counting only the distinct ones).

The product of its digits is 270000, while the sum is 42.

The spelling of 114531251551332 in words is "one hundred fourteen trillion, five hundred thirty-one billion, two hundred fifty-one million, five hundred fifty-one thousand, three hundred thirty-two".