48221216442 has 144 divisors (see below), whose sum is σ = 122735208960. Its totient is φ = 13642364736.

The previous prime is 48221216437. The next prime is 48221216539. The reversal of 48221216442 is 24461212284.

48221216442 is a `hidden beast` number, since 4 + 8 + 2 + 2 + 1 + 2 + 1 + 644 + 2 = 666.

It is a super-2 number, since 2×48221216442² (a number of 22 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 48221216397 and 48221216406.

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 66328683 + ... + 66329409.

It is an arithmetic number, because the mean of its divisors is an integer number (852327840).

Almost surely, 2^48221216442 is an apocalyptic number.

48221216442 is a gapful number since it is divisible by the number (42) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 48221216442, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (61367604480).

48221216442 is an abundant number, since it is smaller than the sum of its proper divisors (74513992518).

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

48221216442 is a wasteful number, since it uses less digits than its factorization.

48221216442 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1385 (or 1375 counting only the distinct ones).

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

The spelling of 48221216442 in words is "forty-eight billion, two hundred twenty-one million, two hundred sixteen thousand, four hundred forty-two".