36216456396121 has 9 divisors (see below), whose sum is σ = 36368812141599. Its totient is φ = 36064736320800.

The previous prime is 36216456396073. The next prime is 36216456396137. The reversal of 36216456396121 is 12169365461263.

The square root of 36216456396121 is 6018011.

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., 27237324285721 + 8979132110400 = 5218939^2 + 2996520^2 .

It is not a de Polignac number, because 36216456396121 - 2¹⁹ = 36216455871833 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (36216456346121) 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, 1450328166 + ... + 1450353136.

Almost surely, 2^{36216456396121} is an apocalyptic number.

36216456396121 is the 6018011-st square number.

36216456396121 is the 3009006-th centered octagonal number.

It is an amenable number.

36216456396121 is a deficient number, since it is larger than the sum of its proper divisors (152355745478).

36216456396121 is an frugal number, since it uses more digits than its factorization.

36216456396121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 50424 (or 25212 counting only the distinct ones).

The product of its digits is 8398080, while the sum is 55.

The spelling of 36216456396121 in words is "thirty-six trillion, two hundred sixteen billion, four hundred fifty-six million, three hundred ninety-six thousand, one hundred twenty-one".