64244311344246 has 96 divisors (see below), whose sum is σ = 147957410764800. Its totient is φ = 18440552064960.

The previous prime is 64244311344223. The next prime is 64244311344287.

64244311344246 is nontrivially palindromic in base 10.

It is a junction number, because it is equal to n+sod(n) for n = 64244311344195 and 64244311344204.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 159886240 + ... + 160287548.

It is an arithmetic number, because the mean of its divisors is an integer number (1541223028800).

Almost surely, 2^{64244311344246} is an apocalyptic number.

64244311344246 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 64244311344246, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (73978705382400).

64244311344246 is an abundant number, since it is smaller than the sum of its proper divisors (83713099420554).

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

64244311344246 is a wasteful number, since it uses less digits than its factorization.

64244311344246 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 408082 (or 408063 counting only the distinct ones).

The product of its digits is 5308416, while the sum is 48.

It can be divided in two parts, 6424431 and 1344246, that added together give a palindrome (7768677).

The spelling of 64244311344246 in words is "sixty-four trillion, two hundred forty-four billion, three hundred eleven million, three hundred forty-four thousand, two hundred forty-six".