48220011840 has 1344 divisors, whose sum is σ = 218507950080. Its totient is φ = 8699166720.

The previous prime is 48220011797. The next prime is 48220011857. The reversal of 48220011840 is 4811002284.

It is a tau number, because it is divible by the number of its divisors (1344).

It is a Harshad number since it is a multiple of its sum of digits (30).

It is a junction number, because it is equal to n+sod(n) for n = 48220011798 and 48220011807.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 346906491 + ... + 346906629.

It is an arithmetic number, because the mean of its divisors is an integer number (162580320).

Almost surely, 2^48220011840 is an apocalyptic number.

48220011840 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 48220011840, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109253975040).

48220011840 is an abundant number, since it is smaller than the sum of its proper divisors (170287938240).

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

48220011840 is a wasteful number, since it uses less digits than its factorization.

48220011840 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 228 (or 199 counting only the distinct ones).

The product of its (nonzero) digits is 4096, while the sum is 30.

The spelling of 48220011840 in words is "forty-eight billion, two hundred twenty million, eleven thousand, eight hundred forty".