3853412186121 has 27 divisors (see below), whose sum is σ = 5579828696533. Its totient is φ = 2562593079840.

The previous prime is 3853412186101. The next prime is 3853412186161. The reversal of 3853412186121 is 1216812143583.

The square root of 3853412186121 is 1963011.

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

3853412186121 is a `hidden beast` number, since 3 + 8 + 5 + 3 + 4 + 1 + 21 + 8 + 612 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 237086217225 + 3616325968896 = 486915^2 + 1901664^2 .

It is not a de Polignac number, because 3853412186121 - 2¹³ = 3853412177929 is a prime.

It is a super-2 number, since 2×3853412186121² (a number of 26 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3853412186101) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 4693558891 + ... + 4693559711.

Almost surely, 2^{3853412186121} is an apocalyptic number.

3853412186121 is the 1963011-st square number.

3853412186121 is the 981506-th centered octagonal number.

It is an amenable number.

3853412186121 is a deficient number, since it is larger than the sum of its proper divisors (1726416510412).

3853412186121 is an frugal number, since it uses more digits than its factorization.

3853412186121 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3242 (or 1621 counting only the distinct ones).

The product of its digits is 276480, while the sum is 45.

The spelling of 3853412186121 in words is "three trillion, eight hundred fifty-three billion, four hundred twelve million, one hundred eighty-six thousand, one hundred twenty-one".