464142606201 has 24 divisors (see below), whose sum is σ = 671209198920. Its totient is φ = 309068176896.

The previous prime is 464142606197. The next prime is 464142606209. The reversal of 464142606201 is 102606241464.

464142606201 is a `hidden beast` number, since 4 + 6 + 4 + 1 + 4 + 26 + 0 + 620 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 1524980601 + 462617625600 = 39051^2 + 680160^2 .

It is not a de Polignac number, because 464142606201 - 2² = 464142606197 is a prime.

It is not an unprimeable number, because it can be changed into a prime (464142606209) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 29989201 + ... + 30004673.

It is an arithmetic number, because the mean of its divisors is an integer number (27967049955).

Almost surely, 2^464142606201 is an apocalyptic number.

It is an amenable number.

464142606201 is a deficient number, since it is larger than the sum of its proper divisors (207066592719).

464142606201 is a wasteful number, since it uses less digits than its factorization.

464142606201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 19145 (or 19142 counting only the distinct ones).

The product of its (nonzero) digits is 55296, while the sum is 36.

Adding to 464142606201 its reverse (102606241464), we get a palindrome (566748847665).

The spelling of 464142606201 in words is "four hundred sixty-four billion, one hundred forty-two million, six hundred six thousand, two hundred one".