115140325279716 has 243 divisors, whose sum is σ = 321513368961603. Its totient is φ = 34717390662240.

The previous prime is 115140325279697. The next prime is 115140325279747. The reversal of 115140325279716 is 617972523041511.

It is a happy number.

The square root of 115140325279716 is 10730346.

It is a perfect power (a square), and thus also a powerful number.

115140325279716 is a `hidden beast` number, since 1 + 1 + 5 + 1 + 40 + 3 + 2 + 527 + 9 + 71 + 6 = 666.

It is a super-3 number, since 3×115140325279716³ (a number of 43 digits) contains 333 as substring.

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 80 ways as a sum of consecutive naturals, for example, 259910440591 + ... + 259910441033.

Almost surely, 2^{115140325279716} is an apocalyptic number.

115140325279716 is the 10730346-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 115140325279716

115140325279716 is an abundant number, since it is smaller than the sum of its proper divisors (206373043681887).

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

115140325279716 is an equidigital number, since it uses as much as digits as its factorization.

115140325279716 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1652 (or 826 counting only the distinct ones).

The product of its (nonzero) digits is 3175200, while the sum is 54.

The spelling of 115140325279716 in words is "one hundred fifteen trillion, one hundred forty billion, three hundred twenty-five million, two hundred seventy-nine thousand, seven hundred sixteen".