906496314201 has 63 divisors (see below), whose sum is σ = 1373731089871. Its totient is φ = 597904194384.

The previous prime is 906496314179. The next prime is 906496314271. The reversal of 906496314201 is 102413694609.

The square root of 906496314201 is 952101.

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

906496314201 is a `hidden beast` number, since 9 + 0 + 6 + 4 + 9 + 631 + 4 + 2 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 888183729225 + 18312584976 = 942435^2 + 135324^2 .

It is not a de Polignac number, because 906496314201 - 2³³ = 897906379609 is a prime.

It is a super-2 number, since 2×906496314201² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (906496314271) 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 62 ways as a sum of consecutive naturals, for example, 4601504035 + ... + 4601504231.

Almost surely, 2^906496314201 is an apocalyptic number.

906496314201 is the 952101-st square number.

906496314201 is the 476051-st centered octagonal number.

It is an amenable number.

906496314201 is a deficient number, since it is larger than the sum of its proper divisors (467234775670).

906496314201 is an frugal number, since it uses more digits than its factorization.

906496314201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 770 (or 379 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 906496314201 in words is "nine hundred six billion, four hundred ninety-six million, three hundred fourteen thousand, two hundred one".