114165771520 has 36 divisors (see below), whose sum is σ = 273462702660. Its totient is φ = 45666308096.

The previous prime is 114165771497. The next prime is 114165771521. The reversal of 114165771520 is 25177561411.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 71815424256 + 42350347264 = 267984^2 + 205792^2 .

It is a super-2 number, since 2×114165771520² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (114165771521) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 44594725 + ... + 44597284.

It is an arithmetic number, because the mean of its divisors is an integer number (7596186185).

Almost surely, 2^114165771520 is an apocalyptic number.

114165771520 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

114165771520 is an abundant number, since it is smaller than the sum of its proper divisors (159296931140).

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

114165771520 is an frugal number, since it uses more digits than its factorization.

114165771520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89192030 (or 89192016 counting only the distinct ones).

The product of its (nonzero) digits is 58800, while the sum is 40.

The spelling of 114165771520 in words is "one hundred fourteen billion, one hundred sixty-five million, seven hundred seventy-one thousand, five hundred twenty".