64935409179001 has 27 divisors (see below), whose sum is σ = 66334069446093. Its totient is φ = 63566062528320.

The previous prime is 64935409178957. The next prime is 64935409179013. The reversal of 64935409179001 is 10097190453946.

The square root of 64935409179001 is 8058251.

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 9031016677225 + 55904392501776 = 3005165^2 + 7476924^2 .

It is not a de Polignac number, because 64935409179001 - 2¹³ = 64935409170809 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (64935409179031) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (31) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 98238137611 + ... + 98238138271.

Almost surely, 2^{64935409179001} is an apocalyptic number.

64935409179001 is the 8058251-st square number.

64935409179001 is the 4029126-th centered octagonal number.

It is an amenable number.

64935409179001 is a deficient number, since it is larger than the sum of its proper divisors (1398660267092).

64935409179001 is an frugal number, since it uses more digits than its factorization.

64935409179001 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1802 (or 901 counting only the distinct ones).

The product of its (nonzero) digits is 7348320, while the sum is 58.

The spelling of 64935409179001 in words is "sixty-four trillion, nine hundred thirty-five billion, four hundred nine million, one hundred seventy-nine thousand, one".