461241132636105 has 48 divisors (see below), whose sum is σ = 802029771902736. Its totient is φ = 245212637429760.

The previous prime is 461241132636073. The next prime is 461241132636181. The reversal of 461241132636105 is 501636231142164.

461241132636105 is a `hidden beast` number, since 4 + 6 + 1 + 2 + 4 + 1 + 1 + 3 + 2 + 636 + 1 + 0 + 5 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 40109662901961 + 421131469734144 = 6333219^2 + 20521488^2 .

It is not a de Polignac number, because 461241132636105 - 2⁵ = 461241132636073 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 40372489 + ... + 50521481.

It is an arithmetic number, because the mean of its divisors is an integer number (16708953581307).

Almost surely, 2^{461241132636105} is an apocalyptic number.

461241132636105 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

461241132636105 is a deficient number, since it is larger than the sum of its proper divisors (340788639266631).

461241132636105 is a wasteful number, since it uses less digits than its factorization.

461241132636105 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 10152218 (or 10152215 counting only the distinct ones).

The product of its (nonzero) digits is 622080, while the sum is 45.

Adding to 461241132636105 its reverse (501636231142164), we get a palindrome (962877363778269).

The spelling of 461241132636105 in words is "four hundred sixty-one trillion, two hundred forty-one billion, one hundred thirty-two million, six hundred thirty-six thousand, one hundred five".