1965946464 has 120 divisors (see below), whose sum is σ = 5819825088. Its totient is φ = 651006720.

The previous prime is 1965946457. The next prime is 1965946469. The reversal of 1965946464 is 4646495691.

1965946464 is a `hidden beast` number, since 1 + 9 + 6 + 594 + 6 + 46 + 4 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a self number, because there is not a number n which added to its sum of digits gives 1965946464.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1965946469) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 404529 + ... + 409359.

Almost surely, 2^1965946464 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 1965946464, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2909912544).

1965946464 is an abundant number, since it is smaller than the sum of its proper divisors (3853878624).

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

1965946464 is a wasteful number, since it uses less digits than its factorization.

1965946464 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5010 (or 4993 counting only the distinct ones).

The product of its digits is 5598720, while the sum is 54.

The square root of 1965946464 is about 44338.9948465231. The cubic root of 1965946464 is about 1252.7292821314.

The spelling of 1965946464 in words is "one billion, nine hundred sixty-five million, nine hundred forty-six thousand, four hundred sixty-four".