4645537933201 has 27 divisors (see below), whose sum is σ = 5205822763953. Its totient is φ = 4142412193920.

The previous prime is 4645537933123. The next prime is 4645537933219. The reversal of 4645537933201 is 1023397355464.

It is a happy number.

The square root of 4645537933201 is 2155351.

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 291221043201 + 4354316890000 = 539649^2 + 2086700^2 .

It is not a de Polignac number, because 4645537933201 - 2⁷ = 4645537933073 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (4645537933241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 1256567785 + ... + 1256571481.

Almost surely, 2^{4645537933201} is an apocalyptic number.

4645537933201 is the 2155351-st square number.

4645537933201 is the 1077676-th centered octagonal number.

It is an amenable number.

4645537933201 is a deficient number, since it is larger than the sum of its proper divisors (560284830752).

4645537933201 is an frugal number, since it uses more digits than its factorization.

4645537933201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7522 (or 3761 counting only the distinct ones).

The product of its (nonzero) digits is 8164800, while the sum is 52.

The spelling of 4645537933201 in words is "four trillion, six hundred forty-five billion, five hundred thirty-seven million, nine hundred thirty-three thousand, two hundred one".