46610012160 has 288 divisors, whose sum is σ = 164209958640. Its totient is φ = 12224102400.

The previous prime is 46610012147. The next prime is 46610012167. The reversal of 46610012160 is 6121001664.

46610012160 is a `hidden beast` number, since 46 + 610 + 0 + 1 + 2 + 1 + 6 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46610012167) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 5617615 + ... + 5625905.

Almost surely, 2^46610012160 is an apocalyptic number.

46610012160 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 46610012160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82104979320).

46610012160 is an abundant number, since it is smaller than the sum of its proper divisors (117599946480).

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

46610012160 is a wasteful number, since it uses less digits than its factorization.

46610012160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8385 (or 8362 counting only the distinct ones).

The product of its (nonzero) digits is 1728, while the sum is 27.

The spelling of 46610012160 in words is "forty-six billion, six hundred ten million, twelve thousand, one hundred sixty".