1414624112144 has 40 divisors (see below), whose sum is σ = 2818211836440. Its totient is φ = 687388474368.

The previous prime is 1414624112137. The next prime is 1414624112147. The reversal of 1414624112144 is 4412114264141.

It is a happy number.

It can be written as a sum of positive squares in 4 ways, for example, as 2358073600 + 1412266038544 = 48560^2 + 1188388^2 .

It is a super-2 number, since 2×1414624112144² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1414624112147) 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, 895709 + ... + 1905660.

It is an arithmetic number, because the mean of its divisors is an integer number (70455295911).

Almost surely, 2^{1414624112144} is an apocalyptic number.

It is an amenable number.

1414624112144 is a deficient number, since it is larger than the sum of its proper divisors (1403587724296).

1414624112144 is a wasteful number, since it uses less digits than its factorization.

1414624112144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2802267 (or 2802261 counting only the distinct ones).

The product of its digits is 24576, while the sum is 35.

Adding to 1414624112144 its reverse (4412114264141), we get a palindrome (5826738376285).

The spelling of 1414624112144 in words is "one trillion, four hundred fourteen billion, six hundred twenty-four million, one hundred twelve thousand, one hundred forty-four".