3958217456461 has 8 divisors (see below), whose sum is σ = 3992929516224. Its totient is φ = 3923573528160.

The previous prime is 3958217456443. The next prime is 3958217456467. The reversal of 3958217456461 is 1646547128593.

3958217456461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3958217456461 - 2¹¹ = 3958217454413 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 3958217456461.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3958217456467) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 16916160 + ... + 17148553.

It is an arithmetic number, because the mean of its divisors is an integer number (499116189528).

Almost surely, 2^{3958217456461} is an apocalyptic number.

It is an amenable number.

3958217456461 is a deficient number, since it is larger than the sum of its proper divisors (34712059763).

3958217456461 is a wasteful number, since it uses less digits than its factorization.

3958217456461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 34065731.

The product of its digits is 43545600, while the sum is 61.

The spelling of 3958217456461 in words is "three trillion, nine hundred fifty-eight billion, two hundred seventeen million, four hundred fifty-six thousand, four hundred sixty-one".