461611725545140 has 192 divisors, whose sum is σ = 1083554646854400. Its totient is φ = 164160989798400.

The previous prime is 461611725545107. The next prime is 461611725545141. The reversal of 461611725545140 is 41545527116164.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461611725545141) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (29) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 3745905046 + ... + 3746028274.

It is an arithmetic number, because the mean of its divisors is an integer number (5643513785700).

Almost surely, 2^{461611725545140} 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 461611725545140, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (541777323427200).

461611725545140 is an abundant number, since it is smaller than the sum of its proper divisors (621942921309260).

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

461611725545140 is a wasteful number, since it uses less digits than its factorization.

461611725545140 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 124946 (or 124944 counting only the distinct ones).

The product of its (nonzero) digits is 4032000, while the sum is 52.

The spelling of 461611725545140 in words is "four hundred sixty-one trillion, six hundred eleven billion, seven hundred twenty-five million, five hundred forty-five thousand, one hundred forty".