219562020048 has 480 divisors, whose sum is σ = 759191408640. Its totient is φ = 54124277760.

The previous prime is 219562020047. The next prime is 219562020053. The reversal of 219562020048 is 840020265912.

219562020048 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a junction number, because it is equal to n+sod(n) for n = 219562019988 and 219562020015.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219562020047) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 23545915 + ... + 23555237.

It is an arithmetic number, because the mean of its divisors is an integer number (1581648768).

Almost surely, 2^219562020048 is an apocalyptic number.

219562020048 is a gapful number since it is divisible by the number (28) 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 219562020048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (379595704320).

219562020048 is an abundant number, since it is smaller than the sum of its proper divisors (539629388592).

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

219562020048 is a wasteful number, since it uses less digits than its factorization.

219562020048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 9415 (or 9402 counting only the distinct ones).

The product of its (nonzero) digits is 69120, while the sum is 39.

The spelling of 219562020048 in words is "two hundred nineteen billion, five hundred sixty-two million, twenty thousand, forty-eight".