64190589681409 has 9 divisors (see below), whose sum is σ = 64246906619779. Its totient is φ = 64134322086640.

The previous prime is 64190589681403. The next prime is 64190589681469. The reversal of 64190589681409 is 90418698509146.

The square root of 64190589681409 is 8011903.

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., 53235337025025 + 10955252656384 = 7296255^2 + 3309872^2 .

It is not a de Polignac number, because 64190589681409 - 2²⁷ = 64190455463681 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (64190589681403) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 11481054204 + ... + 11481059794.

Almost surely, 2^{64190589681409} is an apocalyptic number.

64190589681409 is the 8011903-rd square number.

64190589681409 is the 4005952-nd centered octagonal number.

It is an amenable number.

64190589681409 is a deficient number, since it is larger than the sum of its proper divisors (56316938370).

64190589681409 is an frugal number, since it uses more digits than its factorization.

64190589681409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14048 (or 7024 counting only the distinct ones).

The product of its (nonzero) digits is 134369280, while the sum is 70.

The spelling of 64190589681409 in words is "sixty-four trillion, one hundred ninety billion, five hundred eighty-nine million, six hundred eighty-one thousand, four hundred nine".