461025571968 has 448 divisors, whose sum is σ = 1488304654200. Its totient is φ = 141344538624.

The previous prime is 461025571967. The next prime is 461025572041. The reversal of 461025571968 is 869175520164.

It is a happy number.

461025571968 is a `hidden beast` number, since 4 + 6 + 1 + 0 + 2 + 5 + 571 + 9 + 68 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 369187481664 + 91838090304 = 607608^2 + 303048^2 .

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (461025571961) 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 55 ways as a sum of consecutive naturals, for example, 471878296 + ... + 471879272.

Almost surely, 2^461025571968 is an apocalyptic number.

461025571968 is a gapful number since it is divisible by the number (48) 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 461025571968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (744152327100).

461025571968 is an abundant number, since it is smaller than the sum of its proper divisors (1027279082232).

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

461025571968 is an equidigital number, since it uses as much as digits as its factorization.

461025571968 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1411 (or 1384 counting only the distinct ones).

The product of its (nonzero) digits is 3628800, while the sum is 54.

The spelling of 461025571968 in words is "four hundred sixty-one billion, twenty-five million, five hundred seventy-one thousand, nine hundred sixty-eight".