114511244215144 has 48 divisors (see below), whose sum is σ = 250009604079300. Its totient is φ = 49027800907008.

The previous prime is 114511244215141. The next prime is 114511244215229. The reversal of 114511244215144 is 441512442115411.

It can be written as a sum of positive squares in 2 ways, for example, as 101361845251044 + 13149398964100 = 10067862^2 + 3626210^2 .

It is a super-2 number, since 2×114511244215144² (a number of 29 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 114511244215097 and 114511244215106.

It is not an unprimeable number, because it can be changed into a prime (114511244215141) 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 11 ways as a sum of consecutive naturals, for example, 143788749 + ... + 144582940.

Almost surely, 2^{114511244215144} is an apocalyptic number.

114511244215144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

114511244215144 is an abundant number, since it is smaller than the sum of its proper divisors (135498359864156).

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

114511244215144 is a wasteful number, since it uses less digits than its factorization.

114511244215144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 288372722 (or 288372711 counting only the distinct ones).

The product of its digits is 102400, while the sum is 40.

The spelling of 114511244215144 in words is "one hundred fourteen trillion, five hundred eleven billion, two hundred forty-four million, two hundred fifteen thousand, one hundred forty-four".