64162409809 has 9 divisors (see below), whose sum is σ = 64420545627. Its totient is φ = 63905307264.

The previous prime is 64162409761. The next prime is 64162409813. The reversal of 64162409809 is 90890426146.

The square root of 64162409809 is 253303.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 63718380625 + 444029184 = 252425^2 + 21072^2 .

It is not a de Polignac number, because 64162409809 - 2³⁵ = 29802671441 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (64162409009) 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 8 ways as a sum of consecutive naturals, for example, 111199729 + ... + 111200305.

It is an arithmetic number, because the mean of its divisors is an integer number (7157838403).

Almost surely, 2^64162409809 is an apocalyptic number.

64162409809 is the 253303-rd square number.

64162409809 is the 126652-nd centered octagonal number.

It is an amenable number.

64162409809 is a deficient number, since it is larger than the sum of its proper divisors (258135818).

64162409809 is an frugal number, since it uses more digits than its factorization.

64162409809 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2032 (or 1016 counting only the distinct ones).

The product of its (nonzero) digits is 746496, while the sum is 49.

Multiplying 64162409809 by its sum of digits (49), we get a square (3143958080641 = 1773121²).

The spelling of 64162409809 in words is "sixty-four billion, one hundred sixty-two million, four hundred nine thousand, eight hundred nine".