64533892823401 has 27 divisors (see below), whose sum is σ = 68760948944037. Its totient is φ = 60554365198080.

The previous prime is 64533892823341. The next prime is 64533892823501. The reversal of 64533892823401 is 10432829833546.

It is a happy number.

The square root of 64533892823401 is 8033299.

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

It can be written as a sum of positive squares in 4 ways, for example, as 363795954025 + 64170096869376 = 603155^2 + 8010624^2 .

It is not a de Polignac number, because 64533892823401 - 2²³ = 64533884434793 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (64533892823501) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 71150928790 + ... + 71150929696.

Almost surely, 2^{64533892823401} is an apocalyptic number.

64533892823401 is the 8033299-th square number.

64533892823401 is the 4016650-th centered octagonal number.

It is an amenable number.

64533892823401 is a deficient number, since it is larger than the sum of its proper divisors (4227056120636).

64533892823401 is an frugal number, since it uses more digits than its factorization.

64533892823401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2890 (or 1445 counting only the distinct ones).

The product of its (nonzero) digits is 29859840, while the sum is 58.

The spelling of 64533892823401 in words is "sixty-four trillion, five hundred thirty-three billion, eight hundred ninety-two million, eight hundred twenty-three thousand, four hundred one".