461749950768 has 160 divisors (see below), whose sum is σ = 1275804057600. Its totient is φ = 143587116288.

The previous prime is 461749950757. The next prime is 461749950797. The reversal of 461749950768 is 867059947164.

It is a junction number, because it is equal to n+sod(n) for n = 461749950699 and 461749950708.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8244363 + ... + 8300181.

It is an arithmetic number, because the mean of its divisors is an integer number (7973775360).

Almost surely, 2^461749950768 is an apocalyptic number.

461749950768 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 461749950768, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (637902028800).

461749950768 is an abundant number, since it is smaller than the sum of its proper divisors (814054106832).

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

461749950768 is a wasteful number, since it uses less digits than its factorization.

461749950768 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 56039 (or 56033 counting only the distinct ones).

The product of its (nonzero) digits is 91445760, while the sum is 66.

The spelling of 461749950768 in words is "four hundred sixty-one billion, seven hundred forty-nine million, nine hundred fifty thousand, seven hundred sixty-eight".