1946312064 has 160 divisors (see below), whose sum is σ = 5840481240. Its totient is φ = 643368960.

The previous prime is 1946312047. The next prime is 1946312077. The reversal of 1946312064 is 4602136491.

1946312064 is a `hidden beast` number, since 19 + 4 + 631 + 2 + 0 + 6 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

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 19 ways as a sum of consecutive naturals, for example, 1357492 + ... + 1358924.

Almost surely, 2^1946312064 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 1946312064, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2920240620).

1946312064 is an abundant number, since it is smaller than the sum of its proper divisors (3894169176).

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

1946312064 is a wasteful number, since it uses less digits than its factorization.

1946312064 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1590 (or 1569 counting only the distinct ones).

The product of its (nonzero) digits is 31104, while the sum is 36.

The square root of 1946312064 is about 44117.0269170532. The cubic root of 1946312064 is about 1248.5448804122.

The spelling of 1946312064 in words is "one billion, nine hundred forty-six million, three hundred twelve thousand, sixty-four".