48226214400 has 960 divisors, whose sum is σ = 201915909888. Its totient is φ = 9873653760.

The previous prime is 48226214357. The next prime is 48226214401. The reversal of 48226214400 is 441262284.

It is a tau number, because it is divible by the number of its divisors (960).

It is not an unprimeable number, because it can be changed into a prime (48226214401) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 129292614 + ... + 129292986.

Almost surely, 2^48226214400 is an apocalyptic number.

48226214400 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 48226214400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (100957954944).

48226214400 is an abundant number, since it is smaller than the sum of its proper divisors (153689695488).

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

48226214400 is a wasteful number, since it uses less digits than its factorization.

48226214400 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 461 (or 440 counting only the distinct ones).

The product of its (nonzero) digits is 24576, while the sum is 33.

Adding to 48226214400 its reverse (441262284), we get a palindrome (48667476684).

The spelling of 48226214400 in words is "forty-eight billion, two hundred twenty-six million, two hundred fourteen thousand, four hundred".