219138052224 has 512 divisors, whose sum is σ = 757822464000. Its totient is φ = 54484254720.

The previous prime is 219138052201. The next prime is 219138052247. The reversal of 219138052224 is 422250831912.

It is an interprime number because it is at equal distance from previous prime (219138052201) and next prime (219138052247).

It is a Harshad number since it is a multiple of its sum of digits (39).

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 63 ways as a sum of consecutive naturals, for example, 158680014 + ... + 158681394.

It is an arithmetic number, because the mean of its divisors is an integer number (1480122000).

Almost surely, 2^219138052224 is an apocalyptic number.

219138052224 is a gapful number since it is divisible by the number (24) 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 219138052224, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (378911232000).

219138052224 is an abundant number, since it is smaller than the sum of its proper divisors (538684411776).

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

219138052224 is a wasteful number, since it uses less digits than its factorization.

219138052224 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1676 (or 1664 counting only the distinct ones).

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

The spelling of 219138052224 in words is "two hundred nineteen billion, one hundred thirty-eight million, fifty-two thousand, two hundred twenty-four".