46781485968 has 160 divisors (see below), whose sum is σ = 145804953600. Its totient is φ = 12626178048.

The previous prime is 46781485909. The next prime is 46781486021. The reversal of 46781485968 is 86958418764.

It is a junction number, because it is equal to n+sod(n) for n = 46781485899 and 46781485908.

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, 2243173 + ... + 2263931.

It is an arithmetic number, because the mean of its divisors is an integer number (911280960).

Almost surely, 2^46781485968 is an apocalyptic number.

46781485968 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 46781485968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (72902476800).

46781485968 is an abundant number, since it is smaller than the sum of its proper divisors (99023467632).

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

46781485968 is a wasteful number, since it uses less digits than its factorization.

46781485968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 21149 (or 21143 counting only the distinct ones).

The product of its digits is 92897280, while the sum is 66.

The spelling of 46781485968 in words is "forty-six billion, seven hundred eighty-one million, four hundred eighty-five thousand, nine hundred sixty-eight".