114044415124512 has 48 divisors (see below), whose sum is σ = 299367285672672. Its totient is φ = 38014716664320.

The previous prime is 114044415124511. The next prime is 114044415124571. The reversal of 114044415124512 is 215421514440411.

It is a tau number, because it is divible by the number of its divisors (48).

It is a super-2 number, since 2×114044415124512² (a number of 29 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (114044415124511) 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 7 ways as a sum of consecutive naturals, for example, 50054668 + ... + 52283444.

It is an arithmetic number, because the mean of its divisors is an integer number (6236818451514).

Almost surely, 2^{114044415124512} is an apocalyptic number.

114044415124512 is a gapful number since it is divisible by the number (12) formed by its first and last digit.

It is an amenable number.

114044415124512 is an abundant number, since it is smaller than the sum of its proper divisors (185322870548160).

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

114044415124512 is a wasteful number, since it uses less digits than its factorization.

114044415124512 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2761801 (or 2761793 counting only the distinct ones).

The product of its (nonzero) digits is 102400, while the sum is 39.

Adding to 114044415124512 its reverse (215421514440411), we get a palindrome (329465929564923).

It can be divided in two parts, 1140444 and 15124512, that added together give a triangular number (16264956 = T₅₇₀₃).

The spelling of 114044415124512 in words is "one hundred fourteen trillion, forty-four billion, four hundred fifteen million, one hundred twenty-four thousand, five hundred twelve".