36903814672201 has 9 divisors (see below), whose sum is σ = 38948469158151. Its totient is φ = 34961399289504.

The previous prime is 36903814672187. The next prime is 36903814672253. The reversal of 36903814672201 is 10227641830963.

It is a happy number.

The square root of 36903814672201 is 6074851.

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

It can be written as a sum of positive squares in only one way, i.e., 2408396713801 + 34495417958400 = 1551901^2 + 5873280^2 .

It is not a de Polignac number, because 36903814672201 - 2⁵ = 36903814672169 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36903814672271) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 115262305 + ... + 115582033.

It is an arithmetic number, because the mean of its divisors is an integer number (4327607684239).

Almost surely, 2^{36903814672201} is an apocalyptic number.

36903814672201 is the 6074851-st square number.

36903814672201 is the 3037426-th centered octagonal number.

It is an amenable number.

36903814672201 is a deficient number, since it is larger than the sum of its proper divisors (2044654485950).

36903814672201 is an frugal number, since it uses more digits than its factorization.

36903814672201 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 639496 (or 319748 counting only the distinct ones).

The product of its (nonzero) digits is 2612736, while the sum is 52.

The spelling of 36903814672201 in words is "thirty-six trillion, nine hundred three billion, eight hundred fourteen million, six hundred seventy-two thousand, two hundred one".