4645446445464 has 192 divisors, whose sum is σ = 13181427840000. Its totient is φ = 1361860473600.

The previous prime is 4645446445463. The next prime is 4645446445483.

4645446445464 is nontrivially palindromic in base 10.

It is a super-2 number, since 2×4645446445464² (a number of 26 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 4645446445398 and 4645446445407.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4645446445463) 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, 369002082 + ... + 369014670.

It is an arithmetic number, because the mean of its divisors is an integer number (68653270000).

Almost surely, 2^{4645446445464} is an apocalyptic number.

4645446445464 is a gapful number since it is divisible by the number (44) 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 4645446445464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (6590713920000).

4645446445464 is an abundant number, since it is smaller than the sum of its proper divisors (8535981394536).

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

4645446445464 is a wasteful number, since it uses less digits than its factorization.

4645446445464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16750 (or 16735 counting only the distinct ones).

The product of its digits is 353894400, while the sum is 60.

The spelling of 4645446445464 in words is "four trillion, six hundred forty-five billion, four hundred forty-six million, four hundred forty-five thousand, four hundred sixty-four".