36238846856641 has 135 divisors (see below), whose sum is σ = 44693993817945. Its totient is φ = 29369265045120.

The previous prime is 36238846856633. The next prime is 36238846856671. The reversal of 36238846856641 is 14665864883263.

The square root of 36238846856641 is 6019871.

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 15842748287025 + 20396098569616 = 3980295^2 + 4516204^2 .

It is not a de Polignac number, because 36238846856641 - 2³ = 36238846856633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36238846856671) 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 134 ways as a sum of consecutive naturals, for example, 407178054525 + ... + 407178054613.

Almost surely, 2^{36238846856641} is an apocalyptic number.

36238846856641 is the 6019871-st square number.

36238846856641 is the 3009936-th centered octagonal number.

It is an amenable number.

36238846856641 is a deficient number, since it is larger than the sum of its proper divisors (8455146961304).

36238846856641 is an frugal number, since it uses more digits than its factorization.

36238846856641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 334 (or 156 counting only the distinct ones).

The product of its digits is 955514880, while the sum is 70.

The spelling of 36238846856641 in words is "thirty-six trillion, two hundred thirty-eight billion, eight hundred forty-six million, eight hundred fifty-six thousand, six hundred forty-one".