1414806734688 has 96 divisors (see below), whose sum is σ = 3912884236800. Its totient is φ = 446375379456.

The previous prime is 1414806734687. The next prime is 1414806734689. The reversal of 1414806734688 is 8864376084141.

It is an interprime number because it is at equal distance from previous prime (1414806734687) and next prime (1414806734689).

It is a tau number, because it is divible by the number of its divisors (96).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1414806734687) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 1660258 + ... + 2363486.

It is an arithmetic number, because the mean of its divisors is an integer number (40759210800).

Almost surely, 2^{1414806734688} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1414806734688, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1956442118400).

1414806734688 is an abundant number, since it is smaller than the sum of its proper divisors (2498077502112).

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

1414806734688 is a wasteful number, since it uses less digits than its factorization.

1414806734688 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 704364 (or 704356 counting only the distinct ones).

The product of its (nonzero) digits is 24772608, while the sum is 60.

The spelling of 1414806734688 in words is "one trillion, four hundred fourteen billion, eight hundred six million, seven hundred thirty-four thousand, six hundred eighty-eight".