1646405141 has 16 divisors (see below), whose sum is σ = 1688804208. Its totient is φ = 1604736000.

The previous prime is 1646405129. The next prime is 1646405179. The reversal of 1646405141 is 1415046461.

It can be written as a sum of positive squares in 8 ways, for example, as 227376241 + 1419028900 = 15079^2 + 37670^2 .

It is a cyclic number.

It is not a de Polignac number, because 1646405141 - 2³⁰ = 572663317 is a prime.

It is a super-3 number, since 3×1646405141³ (a number of 29 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1646405098 and 1646405107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1646405641) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 2065355 + ... + 2066151.

It is an arithmetic number, because the mean of its divisors is an integer number (105550263).

Almost surely, 2^1646405141 is an apocalyptic number.

It is an amenable number.

1646405141 is a deficient number, since it is larger than the sum of its proper divisors (42399067).

1646405141 is a wasteful number, since it uses less digits than its factorization.

1646405141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1192.

The product of its (nonzero) digits is 11520, while the sum is 32.

The square root of 1646405141 is about 40575.9182397638. The cubic root of 1646405141 is about 1180.8069604709.

The spelling of 1646405141 in words is "one billion, six hundred forty-six million, four hundred five thousand, one hundred forty-one".