741164101461 has 144 divisors (see below), whose sum is σ = 1358139182400. Its totient is φ = 386815564800.

The previous prime is 741164101441. The next prime is 741164101463. The reversal of 741164101461 is 164101461147.

741164101461 is a `hidden beast` number, since 7 + 4 + 1 + 1 + 641 + 0 + 1 + 4 + 6 + 1 = 666.

741164101461 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is not a de Polignac number, because 741164101461 - 2³¹ = 739016617813 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (741164101463) 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, 197063821 + ... + 197067581.

It is an arithmetic number, because the mean of its divisors is an integer number (9431522100).

Almost surely, 2^741164101461 is an apocalyptic number.

It is an amenable number.

741164101461 is a deficient number, since it is larger than the sum of its proper divisors (616975080939).

741164101461 is a wasteful number, since it uses less digits than its factorization.

741164101461 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 4640 (or 4630 counting only the distinct ones).

The product of its (nonzero) digits is 16128, while the sum is 36.

The spelling of 741164101461 in words is "seven hundred forty-one billion, one hundred sixty-four million, one hundred one thousand, four hundred sixty-one".