48219494400 has 1440 divisors, whose sum is σ = 224138154240. Its totient is φ = 9953280000.

The previous prime is 48219494381. The next prime is 48219494419. The reversal of 48219494400 is 449491284.

It is an interprime number because it is at equal distance from previous prime (48219494381) and next prime (48219494419).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 319334325 + ... + 319334475.

It is an arithmetic number, because the mean of its divisors is an integer number (155651496).

Almost surely, 2^48219494400 is an apocalyptic number.

48219494400 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 48219494400, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (112069077120).

48219494400 is an abundant number, since it is smaller than the sum of its proper divisors (175918659840).

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

48219494400 is a wasteful number, since it uses less digits than its factorization.

48219494400 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 213 (or 179 counting only the distinct ones).

The product of its (nonzero) digits is 331776, while the sum is 45.

The spelling of 48219494400 in words is "forty-eight billion, two hundred nineteen million, four hundred ninety-four thousand, four hundred".