461707118256384 has 3888 divisors, whose sum is σ = 1883696322039168. Its totient is φ = 105789829939200.

The previous prime is 461707118256331. The next prime is 461707118256407. The reversal of 461707118256384 is 483652811707164.

461707118256384 is a `hidden beast` number, since 4 + 6 + 1 + 7 + 0 + 71 + 182 + 5 + 6 + 384 = 666.

It is a super-2 number, since 2×461707118256384² (a number of 30 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 431 ways as a sum of consecutive naturals, for example, 6324755044572 + ... + 6324755044644.

Almost surely, 2^{461707118256384} is an apocalyptic number.

461707118256384 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 461707118256384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (941848161019584).

461707118256384 is an abundant number, since it is smaller than the sum of its proper divisors (1421989203782784).

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

461707118256384 is a wasteful number, since it uses less digits than its factorization.

461707118256384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 326 (or 237 counting only the distinct ones).

The product of its (nonzero) digits is 54190080, while the sum is 63.

The spelling of 461707118256384 in words is "four hundred sixty-one trillion, seven hundred seven billion, one hundred eighteen million, two hundred fifty-six thousand, three hundred eighty-four".