1414692864 has 320 divisors, whose sum is σ = 4662684180. Its totient is φ = 424673280.

The previous prime is 1414692857. The next prime is 1414692889. The reversal of 1414692864 is 4682964141.

It can be written as a sum of positive squares in 2 ways, for example, as 1116094464 + 298598400 = 33408^2 + 17280^2 .

It is a nude number because it is divisible by every one of its digits and also a Zuckerman number because it is divisible by the product of its digits.

Its product of digits (331776) is a multiple of the sum of its prime factors (96).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 34504684 + ... + 34504724.

Almost surely, 2^1414692864 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 1414692864, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2331342090).

1414692864 is an abundant number, since it is smaller than the sum of its proper divisors (3247991316).

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

1414692864 is an frugal number, since it uses more digits than its factorization.

1414692864 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 96 (or 59 counting only the distinct ones).

The product of its digits is 331776, while the sum is 45.

The square root of 1414692864 is about 37612.4030606926. The cubic root of 1414692864 is about 1122.5888413041.

The spelling of 1414692864 in words is "one billion, four hundred fourteen million, six hundred ninety-two thousand, eight hundred sixty-four".