64164142424316 has 144 divisors (see below), whose sum is σ = 170342735618048. Its totient is φ = 18769210669440.

The previous prime is 64164142424311. The next prime is 64164142424323. The reversal of 64164142424316 is 61342424146146.

It is a happy number.

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

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64164142424311) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 2120865 + ... + 11525031.

Almost surely, 2^{64164142424316} is an apocalyptic number.

64164142424316 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 64164142424316, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (85171367809024).

64164142424316 is an abundant number, since it is smaller than the sum of its proper divisors (106178593193732).

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

64164142424316 is a wasteful number, since it uses less digits than its factorization.

64164142424316 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 9404360 (or 9404347 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 48.

The spelling of 64164142424316 in words is "sixty-four trillion, one hundred sixty-four billion, one hundred forty-two million, four hundred twenty-four thousand, three hundred sixteen".