46685134080 has 720 divisors, whose sum is σ = 189469969920. Its totient is φ = 10880925696.

The previous prime is 46685134063. The next prime is 46685134109. The reversal of 46685134080 is 8043158664.

46685134080 is a `hidden beast` number, since 466 + 85 + 1 + 34 + 0 + 80 = 666.

It is a tau number, because it is divible by the number of its divisors (720).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 25608049 + ... + 25609871.

It is an arithmetic number, because the mean of its divisors is an integer number (263152736).

Almost surely, 2^46685134080 is an apocalyptic number.

46685134080 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 46685134080, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (94734984960).

46685134080 is an abundant number, since it is smaller than the sum of its proper divisors (142784835840).

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

46685134080 is a wasteful number, since it uses less digits than its factorization.

46685134080 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1888 (or 1865 counting only the distinct ones).

The product of its (nonzero) digits is 552960, while the sum is 45.

The spelling of 46685134080 in words is "forty-six billion, six hundred eighty-five million, one hundred thirty-four thousand, eighty".