64420144102446 has 64 divisors (see below), whose sum is σ = 142968597730560. Its totient is φ = 19185916066560.

The previous prime is 64420144102441. The next prime is 64420144102459.

64420144102446 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 64420144102398 and 64420144102407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (64420144102441) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 14807520 + ... + 18657516.

It is an arithmetic number, because the mean of its divisors is an integer number (2233884339540).

Almost surely, 2^{64420144102446} is an apocalyptic number.

64420144102446 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 64420144102446, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71484298865280).

64420144102446 is an abundant number, since it is smaller than the sum of its proper divisors (78548453628114).

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

64420144102446 is a wasteful number, since it uses less digits than its factorization.

64420144102446 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3854369.

The product of its (nonzero) digits is 589824, while the sum is 42.

The spelling of 64420144102446 in words is "sixty-four trillion, four hundred twenty billion, one hundred forty-four million, one hundred two thousand, four hundred forty-six".