1414112134644 has 72 divisors (see below), whose sum is σ = 3938130574560. Its totient is φ = 424276056000.

The previous prime is 1414112134627. The next prime is 1414112134651. The reversal of 1414112134644 is 4464312114141.

1414112134644 is a `hidden beast` number, since 1 + 4 + 1 + 4 + 1 + 1 + 2 + 1 + 3 + 4 + 644 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 1414112134599 and 1414112134608.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 17638174 + ... + 17718165.

It is an arithmetic number, because the mean of its divisors is an integer number (54696257980).

Almost surely, 2^{1414112134644} is an apocalyptic number.

It is an amenable number.

1414112134644 is an abundant number, since it is smaller than the sum of its proper divisors (2524018439916).

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

1414112134644 is a wasteful number, since it uses less digits than its factorization.

1414112134644 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 35356461 (or 35356456 counting only the distinct ones).

The product of its digits is 36864, while the sum is 36.

Adding to 1414112134644 its reverse (4464312114141), we get a palindrome (5878424248785).

The spelling of 1414112134644 in words is "one trillion, four hundred fourteen billion, one hundred twelve million, one hundred thirty-four thousand, six hundred forty-four".