3214051405461 has 80 divisors (see below), whose sum is σ = 5349909826800. Its totient is φ = 1909299796992.

The previous prime is 3214051405423. The next prime is 3214051405463. The reversal of 3214051405461 is 1645041504123.

3214051405461 is a `hidden beast` number, since 3 + 2 + 1 + 405 + 140 + 54 + 61 = 666.

3214051405461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 8 ways, for example, as 297795038436 + 2916256367025 = 545706^2 + 1707705^2 .

It is not a de Polignac number, because 3214051405461 - 2¹⁷ = 3214051274389 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3214051405463) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 275712745 + ... + 275724401.

It is an arithmetic number, because the mean of its divisors is an integer number (66873872835).

Almost surely, 2^{3214051405461} is an apocalyptic number.

It is an amenable number.

3214051405461 is a deficient number, since it is larger than the sum of its proper divisors (2135858421339).

3214051405461 is a wasteful number, since it uses less digits than its factorization.

3214051405461 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 20740 (or 20731 counting only the distinct ones).

The product of its (nonzero) digits is 57600, while the sum is 36.

Adding to 3214051405461 its reverse (1645041504123), we get a palindrome (4859092909584).

The spelling of 3214051405461 in words is "three trillion, two hundred fourteen billion, fifty-one million, four hundred five thousand, four hundred sixty-one".