3641212121463 has 144 divisors (see below), whose sum is σ = 6355335287808. Its totient is φ = 1966811328000.

The previous prime is 3641212121411. The next prime is 3641212121473.

3641212121463 is a `hidden beast` number, since 3 + 6 + 412 + 1 + 21 + 214 + 6 + 3 = 666.

3641212121463 is nontrivially palindromic in base 10.

It is not a de Polignac number, because 3641212121463 - 2¹⁴ = 3641212105079 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3641212121473) by changing a digit.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 502717920 + ... + 502725162.

It is an arithmetic number, because the mean of its divisors is an integer number (44134272832).

Almost surely, 2^{3641212121463} is an apocalyptic number.

3641212121463 is a deficient number, since it is larger than the sum of its proper divisors (2714123166345).

3641212121463 is a wasteful number, since it uses less digits than its factorization.

3641212121463 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 7486 (or 7442 counting only the distinct ones).

The product of its digits is 41472, while the sum is 36.

The spelling of 3641212121463 in words is "three trillion, six hundred forty-one billion, two hundred twelve million, one hundred twenty-one thousand, four hundred sixty-three".