461708851968 has 324 divisors, whose sum is σ = 1667688055488. Its totient is φ = 121768980480.

The previous prime is 461708851957. The next prime is 461708851973. The reversal of 461708851968 is 869158807164.

461708851968 is a `hidden beast` number, since 4 + 617 + 0 + 8 + 8 + 5 + 1 + 9 + 6 + 8 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 1310353 + ... + 1624943.

Almost surely, 2^461708851968 is an apocalyptic number.

461708851968 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 461708851968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (833844027744).

461708851968 is an abundant number, since it is smaller than the sum of its proper divisors (1205979203520).

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

461708851968 is a wasteful number, since it uses less digits than its factorization.

461708851968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 314640 (or 314616 counting only the distinct ones).

The product of its (nonzero) digits is 23224320, while the sum is 63.

The spelling of 461708851968 in words is "four hundred sixty-one billion, seven hundred eight million, eight hundred fifty-one thousand, nine hundred sixty-eight".