1643089849632 has 1152 divisors, whose sum is σ = 6429002711040. Its totient is φ = 399644098560.

The previous prime is 1643089849631. The next prime is 1643089849663. The reversal of 1643089849632 is 2369489803461.

1643089849632 is a `hidden beast` number, since 1 + 6 + 4 + 30 + 89 + 8 + 496 + 32 = 666.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a self number, because there is not a number n which added to its sum of digits gives 1643089849632.

It is not an unprimeable number, because it can be changed into a prime (1643089849631) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 3430249969 + ... + 3430250447.

It is an arithmetic number, because the mean of its divisors is an integer number (5580731520).

Almost surely, 2^{1643089849632} is an apocalyptic number.

1643089849632 is a gapful number since it is divisible by the number (12) 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 1643089849632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3214501355520).

1643089849632 is an abundant number, since it is smaller than the sum of its proper divisors (4785912861408).

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

1643089849632 is a wasteful number, since it uses less digits than its factorization.

1643089849632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 876 (or 856 counting only the distinct ones).

The product of its (nonzero) digits is 53747712, while the sum is 63.

The spelling of 1643089849632 in words is "one trillion, six hundred forty-three billion, eighty-nine million, eight hundred forty-nine thousand, six hundred thirty-two".