461719093104 has 160 divisors (see below), whose sum is σ = 1357048183040. Its totient is φ = 150224917248.

The previous prime is 461719093103. The next prime is 461719093109. The reversal of 461719093104 is 401390917164.

It is a happy number.

461719093104 is a `hidden beast` number, since 4 + 617 + 19 + 0 + 9 + 3 + 10 + 4 = 666.

It is a self number, because there is not a number n which added to its sum of digits gives 461719093104.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (461719093103) 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 31 ways as a sum of consecutive naturals, for example, 30215514 + ... + 30230790.

It is an arithmetic number, because the mean of its divisors is an integer number (8481551144).

Almost surely, 2^461719093104 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 461719093104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (678524091520).

461719093104 is an abundant number, since it is smaller than the sum of its proper divisors (895329089936).

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

461719093104 is a wasteful number, since it uses less digits than its factorization.

461719093104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 16964 (or 16952 counting only the distinct ones).

The product of its (nonzero) digits is 163296, while the sum is 45.

The spelling of 461719093104 in words is "four hundred sixty-one billion, seven hundred nineteen million, ninety-three thousand, one hundred four".