1646006418 has 96 divisors (see below), whose sum is σ = 4319602560. Its totient is φ = 442955520.

The previous prime is 1646006387. The next prime is 1646006441. The reversal of 1646006418 is 8146006461.

1646006418 is a `hidden beast` number, since 1 + 6 + 4 + 6 + 0 + 0 + 641 + 8 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 144321 + ... + 155307.

It is an arithmetic number, because the mean of its divisors is an integer number (44995860).

Almost surely, 2^1646006418 is an apocalyptic number.

1646006418 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1646006418, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2159801280).

1646006418 is an abundant number, since it is smaller than the sum of its proper divisors (2673596142).

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

1646006418 is a wasteful number, since it uses less digits than its factorization.

1646006418 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11072 (or 11069 counting only the distinct ones).

The product of its (nonzero) digits is 27648, while the sum is 36.

The square root of 1646006418 is about 40571.0046461756. The cubic root of 1646006418 is about 1180.7116309771.

The spelling of 1646006418 in words is "one billion, six hundred forty-six million, six thousand, four hundred eighteen".