114051240532260 has 144 divisors (see below), whose sum is σ = 348035156514864. Its totient is φ = 30230911847424.

The previous prime is 114051240532219. The next prime is 114051240532331. The reversal of 114051240532260 is 62235042150411.

114051240532260 is a `hidden beast` number, since 1 + 1 + 40 + 5 + 1 + 24 + 0 + 532 + 2 + 60 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 22985139895524 + 91066100636736 = 4794282^2 + 9542856^2 .

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 135756454 + ... + 136593986.

It is an arithmetic number, because the mean of its divisors is an integer number (2416910809131).

Almost surely, 2^{114051240532260} is an apocalyptic number.

114051240532260 is a gapful number since it is divisible by the number (10) 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 114051240532260, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (174017578257432).

114051240532260 is an abundant number, since it is smaller than the sum of its proper divisors (233983915982604).

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

114051240532260 is a wasteful number, since it uses less digits than its factorization.

114051240532260 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 842094 (or 842089 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 114051240532260 its reverse (62235042150411), we get a palindrome (176286282682671).

The spelling of 114051240532260 in words is "one hundred fourteen trillion, fifty-one billion, two hundred forty million, five hundred thirty-two thousand, two hundred sixty".