46800820224 has 312 divisors, whose sum is σ = 143632468980. Its totient is φ = 15237476352.

The previous prime is 46800820217. The next prime is 46800820243. The reversal of 46800820224 is 42202800864.

It is a happy number.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a nialpdrome in base 6.

It is a zygodrome in base 6.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 25 ways as a sum of consecutive naturals, for example, 1088391147 + ... + 1088391189.

Almost surely, 2^46800820224 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 46800820224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (71816234490).

46800820224 is an abundant number, since it is smaller than the sum of its proper divisors (96831648756).

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

46800820224 is an frugal number, since it uses more digits than its factorization.

46800820224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 101 (or 48 counting only the distinct ones).

The product of its (nonzero) digits is 49152, while the sum is 36.

The spelling of 46800820224 in words is "forty-six billion, eight hundred million, eight hundred twenty thousand, two hundred twenty-four".