64142224146 has 288 divisors, whose sum is σ = 197916001920. Its totient is φ = 14568491520.

The previous prime is 64142224061. The next prime is 64142224151.

64142224146 is a `hidden beast` number, since 6 + 4 + 14 + 222 + 414 + 6 = 666.

64142224146 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×64142224146² (a number of 22 digits) contains 22 as substring.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 64142224146.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 3757246 + ... + 3774278.

It is an arithmetic number, because the mean of its divisors is an integer number (687208340).

Almost surely, 2^64142224146 is an apocalyptic number.

64142224146 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 64142224146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (98958000960).

64142224146 is an abundant number, since it is smaller than the sum of its proper divisors (133773777774).

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

64142224146 is a wasteful number, since it uses less digits than its factorization.

64142224146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17102 (or 17088 counting only the distinct ones).

The product of its digits is 73728, while the sum is 36.

The spelling of 64142224146 in words is "sixty-four billion, one hundred forty-two million, two hundred twenty-four thousand, one hundred forty-six".