461709378064 has 45 divisors (see below), whose sum is σ = 983342480239. Its totient is φ = 209854309280.

The previous prime is 461709378059. The next prime is 461709378079. The reversal of 461709378064 is 460873907164.

The square root of 461709378064 is 679492.

It is a perfect power (a square), and thus also a powerful number.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 461709377996 and 461709378014.

It is an unprimeable number.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 29889927 + ... + 29905369.

Almost surely, 2^461709378064 is an apocalyptic number.

461709378064 is a gapful number since it is divisible by the number (44) formed by its first and last digit.

461709378064 is the 679492-nd square number.

It is an amenable number.

461709378064 is an abundant number, since it is smaller than the sum of its proper divisors (521633102175).

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

461709378064 is an frugal number, since it uses more digits than its factorization.

461709378064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 30916 (or 15456 counting only the distinct ones).

The product of its (nonzero) digits is 6096384, while the sum is 55.

The spelling of 461709378064 in words is "four hundred sixty-one billion, seven hundred nine million, three hundred seventy-eight thousand, sixty-four".