461205136622200 has 48 divisors (see below), whose sum is σ = 1072361053874880. Its totient is φ = 184471884975360.

The previous prime is 461205136622117. The next prime is 461205136622221. The reversal of 461205136622200 is 2226631502164.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (40).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 59922789 + ... + 67179988.

It is an arithmetic number, because the mean of its divisors is an integer number (22340855289060).

Almost surely, 2^{461205136622200} is an apocalyptic number.

461205136622200 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

461205136622200 is an abundant number, since it is smaller than the sum of its proper divisors (611155917252680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

461205136622200 is a wasteful number, since it uses less digits than its factorization.

461205136622200 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 127120936 (or 127120927 counting only the distinct ones).

The product of its (nonzero) digits is 207360, while the sum is 40.

The spelling of 461205136622200 in words is "four hundred sixty-one trillion, two hundred five billion, one hundred thirty-six million, six hundred twenty-two thousand, two hundred".