461688415776 has 288 divisors, whose sum is σ = 1581262300800. Its totient is φ = 124825743360.

The previous prime is 461688415723. The next prime is 461688415777. The reversal of 461688415776 is 677514886164.

461688415776 is a `hidden beast` number, since 4 + 6 + 16 + 8 + 8 + 41 + 577 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

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

It is not an unprimeable number, because it can be changed into a prime (461688415777) by changing a digit.

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 47 ways as a sum of consecutive naturals, for example, 36037660 + ... + 36050468.

It is an arithmetic number, because the mean of its divisors is an integer number (5490494100).

Almost surely, 2^461688415776 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 461688415776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (790631150400).

461688415776 is an abundant number, since it is smaller than the sum of its proper divisors (1119573885024).

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

461688415776 is a wasteful number, since it uses less digits than its factorization.

461688415776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13792 (or 13781 counting only the distinct ones).

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

The spelling of 461688415776 in words is "four hundred sixty-one billion, six hundred eighty-eight million, four hundred fifteen thousand, seven hundred seventy-six".