461610264165500 has 96 divisors (see below), whose sum is σ = 1010654576707776. Its totient is φ = 184187109600000.

The previous prime is 461610264165473. The next prime is 461610264165503. The reversal of 461610264165500 is 5561462016164.

It is a super-3 number, since 3×461610264165500³ (a number of 45 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461610264165503) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 393690110 + ... + 394860890.

It is an arithmetic number, because the mean of its divisors is an integer number (10527651840706).

Almost surely, 2^{461610264165500} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461610264165500, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (505327288353888).

461610264165500 is an abundant number, since it is smaller than the sum of its proper divisors (549044312542276).

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

461610264165500 is a wasteful number, since it uses less digits than its factorization.

461610264165500 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1172752 (or 1172740 counting only the distinct ones).

The product of its (nonzero) digits is 1036800, while the sum is 47.

The spelling of 461610264165500 in words is "four hundred sixty-one trillion, six hundred ten billion, two hundred sixty-four million, one hundred sixty-five thousand, five hundred".