219138128352 has 720 divisors, whose sum is σ = 774653162976. Its totient is φ = 60354201600.

The previous prime is 219138128327. The next prime is 219138128479. The reversal of 219138128352 is 253821831912.

219138128352 is a `hidden beast` number, since 2 + 191 + 381 + 2 + 83 + 5 + 2 = 666.

It is a junction number, because it is equal to n+sod(n) for n = 219138128298 and 219138128307.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 289481958 + ... + 289482714.

Almost surely, 2^219138128352 is an apocalyptic number.

219138128352 is a gapful number since it is divisible by the number (22) 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 219138128352, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (387326581488).

219138128352 is an abundant number, since it is smaller than the sum of its proper divisors (555515034624).

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

219138128352 is a wasteful number, since it uses less digits than its factorization.

219138128352 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 885 (or 857 counting only the distinct ones).

The product of its digits is 207360, while the sum is 45.

The spelling of 219138128352 in words is "two hundred nineteen billion, one hundred thirty-eight million, one hundred twenty-eight thousand, three hundred fifty-two".