114048719521 has 15 divisors (see below), whose sum is σ = 125497777665. Its totient is φ = 103643505900.

The previous prime is 114048719429. The next prime is 114048719527. The reversal of 114048719521 is 125917840411.

The square root of 114048719521 is 337711.

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

It is not a de Polignac number, because 114048719521 - 2¹⁵ = 114048686753 is a prime.

It is a super-2 number, since 2×114048719521² (a number of 23 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (114048719527) 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 14 ways as a sum of consecutive naturals, for example, 40861636 + ... + 40864426.

It is an arithmetic number, because the mean of its divisors is an integer number (8366518511).

Almost surely, 2^114048719521 is an apocalyptic number.

114048719521 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

114048719521 is the 337711-st square number.

114048719521 is the 168856-th centered octagonal number.

It is an amenable number.

114048719521 is a deficient number, since it is larger than the sum of its proper divisors (11449058144).

114048719521 is an frugal number, since it uses more digits than its factorization.

114048719521 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5626 (or 2802 counting only the distinct ones).

The product of its (nonzero) digits is 80640, while the sum is 43.

It can be divided in two parts, 114048 and 719521, that added together give a square (833569 = 913²).

The spelling of 114048719521 in words is "one hundred fourteen billion, forty-eight million, seven hundred nineteen thousand, five hundred twenty-one".