46459092160 has 224 divisors, whose sum is σ = 122867196480. Its totient is φ = 16625958912.

The previous prime is 46459092151. The next prime is 46459092193. The reversal of 46459092160 is 6129095464.

It is a self number, because there is not a number n which added to its sum of digits gives 46459092160.

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 31 ways as a sum of consecutive naturals, for example, 17915824 + ... + 17918416.

It is an arithmetic number, because the mean of its divisors is an integer number (548514270).

Almost surely, 2^46459092160 is an apocalyptic number.

46459092160 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 46459092160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61433598240).

46459092160 is an abundant number, since it is smaller than the sum of its proper divisors (76408104320).

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

46459092160 is a wasteful number, since it uses less digits than its factorization.

46459092160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2755 (or 2745 counting only the distinct ones).

The product of its (nonzero) digits is 466560, while the sum is 46.

The spelling of 46459092160 in words is "forty-six billion, four hundred fifty-nine million, ninety-two thousand, one hundred sixty".