1643408367104 has 160 divisors (see below), whose sum is σ = 3961579776000. Its totient is φ = 665327001600.

The previous prime is 1643408367059. The next prime is 1643408367127. The reversal of 1643408367104 is 4017638043461.

It is a super-2 number, since 2×1643408367104² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

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 15 ways as a sum of consecutive naturals, for example, 23730929 + ... + 23800079.

It is an arithmetic number, because the mean of its divisors is an integer number (24759873600).

Almost surely, 2^{1643408367104} is an apocalyptic number.

1643408367104 is a gapful number since it is divisible by the number (14) 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 1643408367104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1980789888000).

1643408367104 is an abundant number, since it is smaller than the sum of its proper divisors (2318171408896).

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

1643408367104 is an equidigital number, since it uses as much as digits as its factorization.

1643408367104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 69544 (or 69528 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 47.

The spelling of 1643408367104 in words is "one trillion, six hundred forty-three billion, four hundred eight million, three hundred sixty-seven thousand, one hundred four".