4135648465314 has 64 divisors (see below), whose sum is σ = 9321486428160. Its totient is φ = 1358883162000.

The previous prime is 4135648465309. The next prime is 4135648465331.

4135648465314 is a `hidden beast` number, since 4 + 1 + 3 + 5 + 64 + 8 + 46 + 531 + 4 = 666.

4135648465314 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4135648465314² (a number of 26 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (54).

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 31 ways as a sum of consecutive naturals, for example, 21339429 + ... + 21532359.

It is an arithmetic number, because the mean of its divisors is an integer number (145648225440).

Almost surely, 2^{4135648465314} is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 4135648465314, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (4660743214080).

4135648465314 is an abundant number, since it is smaller than the sum of its proper divisors (5185837962846).

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

4135648465314 is a wasteful number, since it uses less digits than its factorization.

4135648465314 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 198604 (or 198598 counting only the distinct ones).

The product of its digits is 16588800, while the sum is 54.

The spelling of 4135648465314 in words is "four trillion, one hundred thirty-five billion, six hundred forty-eight million, four hundred sixty-five thousand, three hundred fourteen".