46159994880 has 280 divisors, whose sum is σ = 165493923012. Its totient is φ = 12308447232.

The previous prime is 46159994861. The next prime is 46159994887. The reversal of 46159994880 is 8849995164.

46159994880 is a `hidden beast` number, since 4 + 61 + 5 + 9 + 99 + 488 + 0 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 46159663104 + 331776 = 214848^2 + 576^2 .

It is a super-3 number, since 3×46159994880³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (46159994887) by changing a digit.

It is a polite number, since it can be written in 19 ways as a sum of consecutive naturals, for example, 3310804 + ... + 3324716.

Almost surely, 2^46159994880 is an apocalyptic number.

46159994880 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 46159994880, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (82746961506).

46159994880 is an abundant number, since it is smaller than the sum of its proper divisors (119333928132).

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

46159994880 is an equidigital number, since it uses as much as digits as its factorization.

46159994880 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13956 (or 13923 counting only the distinct ones).

The product of its (nonzero) digits is 22394880, while the sum is 63.

The spelling of 46159994880 in words is "forty-six billion, one hundred fifty-nine million, nine hundred ninety-four thousand, eight hundred eighty".