461615365206 has 120 divisors (see below), whose sum is σ = 1075610352960. Its totient is φ = 147794764320.

The previous prime is 461615365117. The next prime is 461615365229. The reversal of 461615365206 is 602563516164.

461615365206 is a `hidden beast` number, since 4 + 6 + 1 + 61 + 536 + 52 + 0 + 6 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 209158555 + ... + 209160761.

It is an arithmetic number, because the mean of its divisors is an integer number (8963419608).

Almost surely, 2^461615365206 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461615365206, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (537805176480).

461615365206 is an abundant number, since it is smaller than the sum of its proper divisors (613994987754).

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

461615365206 is a wasteful number, since it uses less digits than its factorization.

461615365206 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2672 (or 2452 counting only the distinct ones).

The product of its (nonzero) digits is 777600, while the sum is 45.

The spelling of 461615365206 in words is "four hundred sixty-one billion, six hundred fifteen million, three hundred sixty-five thousand, two hundred six".