46168319680 has 112 divisors (see below), whose sum is σ = 125706445056. Its totient is φ = 15821245440.

The previous prime is 46168319677. The next prime is 46168319683. The reversal of 46168319680 is 8691386164.

It is an interprime number because it is at equal distance from previous prime (46168319677) and next prime (46168319683).

It is a tau number, because it is divible by the number of its divisors (112).

It is not an unprimeable number, because it can be changed into a prime (46168319683) 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 15 ways as a sum of consecutive naturals, for example, 6113667 + ... + 6121213.

Almost surely, 2^46168319680 is an apocalyptic number.

46168319680 is a gapful number since it is divisible by the number (40) 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 46168319680, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62853222528).

46168319680 is an abundant number, since it is smaller than the sum of its proper divisors (79538125376).

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

46168319680 is a wasteful number, since it uses less digits than its factorization.

46168319680 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10302 (or 10292 counting only the distinct ones).

The product of its (nonzero) digits is 1492992, while the sum is 52.

The spelling of 46168319680 in words is "forty-six billion, one hundred sixty-eight million, three hundred nineteen thousand, six hundred eighty".