461108059776 has 1024 divisors, whose sum is σ = 1771615641600. Its totient is φ = 116175679488.

The previous prime is 461108059759. The next prime is 461108059843. The reversal of 461108059776 is 677950801164.

461108059776 is a `hidden beast` number, since 46 + 1 + 1 + 0 + 8 + 0 + 597 + 7 + 6 = 666.

It is a super-3 number, since 3×461108059776³ (a number of 36 digits) contains 333 as substring.

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

It is a congruent number.

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 127 ways as a sum of consecutive naturals, for example, 585905655 + ... + 585906441.

It is an arithmetic number, because the mean of its divisors is an integer number (1730093400).

Almost surely, 2^461108059776 is an apocalyptic number.

461108059776 is a gapful number since it is divisible by the number (46) 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 461108059776, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (885807820800).

461108059776 is an abundant number, since it is smaller than the sum of its proper divisors (1310507581824).

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

461108059776 is an equidigital number, since it uses as much as digits as its factorization.

461108059776 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 865 (or 835 counting only the distinct ones).

The product of its (nonzero) digits is 2540160, while the sum is 54.

The spelling of 461108059776 in words is "four hundred sixty-one billion, one hundred eight million, fifty-nine thousand, seven hundred seventy-six".