43820146664448 has 1408 divisors, whose sum is σ = 161430162112512. Its totient is φ = 10218700800000.

The previous prime is 43820146664429. The next prime is 43820146664501. The reversal of 43820146664448 is 84446664102834.

It is a tau number, because it is divible by the number of its divisors (1408).

It is a junction number, because it is equal to n+sod(n) for n = 43820146664391 and 43820146664400.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 8850764373 + ... + 8850769323.

Almost surely, 2^{43820146664448} is an apocalyptic number.

43820146664448 is a gapful number since it is divisible by the number (48) 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 43820146664448, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (80715081056256).

43820146664448 is an abundant number, since it is smaller than the sum of its proper divisors (117610015448064).

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

43820146664448 is a wasteful number, since it uses less digits than its factorization.

43820146664448 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5111 (or 5093 counting only the distinct ones).

The product of its (nonzero) digits is 84934656, while the sum is 60.

The spelling of 43820146664448 in words is "forty-three trillion, eight hundred twenty billion, one hundred forty-six million, six hundred sixty-four thousand, four hundred forty-eight".