1641117984 has 192 divisors, whose sum is σ = 5026250880. Its totient is φ = 463339520.

The previous prime is 1641117977. The next prime is 1641117991. The reversal of 1641117984 is 4897111461.

It is an interprime number because it is at equal distance from previous prime (1641117977) and next prime (1641117991).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2028172 + ... + 2028980.

It is an arithmetic number, because the mean of its divisors is an integer number (26178390).

Almost surely, 2^1641117984 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1641117984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2513125440).

1641117984 is an abundant number, since it is smaller than the sum of its proper divisors (3385132896).

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

1641117984 is a wasteful number, since it uses less digits than its factorization.

1641117984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 963 (or 955 counting only the distinct ones).

The product of its digits is 48384, while the sum is 42.

The square root of 1641117984 is about 40510.7144345789. The cubic root of 1641117984 is about 1179.5416164626.

The spelling of 1641117984 in words is "one billion, six hundred forty-one million, one hundred seventeen thousand, nine hundred eighty-four".