1641486816 has 384 divisors, whose sum is σ = 5460618240. Its totient is φ = 476872704.

The previous prime is 1641486751. The next prime is 1641486823. The reversal of 1641486816 is 6186841461.

1641486816 is a `hidden beast` number, since 164 + 1 + 486 + 8 + 1 + 6 = 666.

It is a nude number because it is divisible by every one of its digits.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 14526376 + ... + 14526488.

It is an arithmetic number, because the mean of its divisors is an integer number (14220360).

Almost surely, 2^1641486816 is an apocalyptic number.

1641486816 is a gapful number since it is divisible by the number (16) 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 1641486816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2730309120).

1641486816 is an abundant number, since it is smaller than the sum of its proper divisors (3819131424).

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

1641486816 is a wasteful number, since it uses less digits than its factorization.

1641486816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 215 (or 201 counting only the distinct ones).

The product of its digits is 221184, while the sum is 45.

The square root of 1641486816 is about 40515.2664559916. The cubic root of 1641486816 is about 1179.6299749495.

The spelling of 1641486816 in words is "one billion, six hundred forty-one million, four hundred eighty-six thousand, eight hundred sixteen".