461386752295104 has 560 divisors, whose sum is σ = 1516274650756800. Its totient is φ = 138197249777664.

The previous prime is 461386752295037. The next prime is 461386752295109. The reversal of 461386752295104 is 401592257683164.

It is a happy number.

461386752295104 is a `hidden beast` number, since 4 + 6 + 1 + 3 + 8 + 6 + 7 + 522 + 95 + 10 + 4 = 666.

It is not an unprimeable number, because it can be changed into a prime (461386752295109) by changing a digit.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 126132742 + ... + 129739130.

It is a 1-persistent number, because it is pandigital, but 2⋅461386752295104 = 922773504590208 is not.

Almost surely, 2^{461386752295104} 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 461386752295104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (758137325378400).

461386752295104 is an abundant number, since it is smaller than the sum of its proper divisors (1054887898461696).

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

461386752295104 is a wasteful number, since it uses less digits than its factorization.

461386752295104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3606502 (or 3606483 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 461386752295104 in words is "four hundred sixty-one trillion, three hundred eighty-six billion, seven hundred fifty-two million, two hundred ninety-five thousand, one hundred four".