46407267168 has 192 divisors, whose sum is σ = 130003392960. Its totient is φ = 14467203072.

The previous prime is 46407267163. The next prime is 46407267169. The reversal of 46407267168 is 86176270464.

It is a self number, because there is not a number n which added to its sum of digits gives 46407267168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (46407267163) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 26472180 + ... + 26473932.

It is an arithmetic number, because the mean of its divisors is an integer number (677101005).

Almost surely, 2^46407267168 is an apocalyptic number.

46407267168 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 46407267168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (65001696480).

46407267168 is an abundant number, since it is smaller than the sum of its proper divisors (83596125792).

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

46407267168 is a wasteful number, since it uses less digits than its factorization.

46407267168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2089 (or 2081 counting only the distinct ones).

The product of its (nonzero) digits is 2709504, while the sum is 51.

The spelling of 46407267168 in words is "forty-six billion, four hundred seven million, two hundred sixty-seven thousand, one hundred sixty-eight".