461704455918432 has 96 divisors (see below), whose sum is σ = 1346653398353760. Its totient is φ = 153899725086720.

The previous prime is 461704455918427. The next prime is 461704455918439. The reversal of 461704455918432 is 234819554407164.

461704455918432 is a `hidden beast` number, since 4 + 6 + 1 + 7 + 0 + 4 + 4 + 5 + 591 + 8 + 4 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a super-2 number, since 2×461704455918432² (a number of 30 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 461704455918432.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461704455918439) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 73643368 + ... + 79666520.

It is an arithmetic number, because the mean of its divisors is an integer number (14027639566185).

It is a 1-persistent number, because it is pandigital, but 2⋅461704455918432 = 923408911836864 is not.

Almost surely, 2^{461704455918432} is an apocalyptic number.

It is an amenable number.

461704455918432 is an abundant number, since it is smaller than the sum of its proper divisors (884948942435328).

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

461704455918432 is a wasteful number, since it uses less digits than its factorization.

461704455918432 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6111893 (or 6111879 counting only the distinct ones).

The product of its (nonzero) digits is 116121600, while the sum is 63.

The spelling of 461704455918432 in words is "four hundred sixty-one trillion, seven hundred four billion, four hundred fifty-five million, nine hundred eighteen thousand, four hundred thirty-two".