219038378832 has 480 divisors, whose sum is σ = 796700952320. Its totient is φ = 54705466368.

The previous prime is 219038378831. The next prime is 219038378843. The reversal of 219038378832 is 238873830912.

219038378832 is a `hidden beast` number, since 2 + 190 + 3 + 8 + 378 + 83 + 2 = 666.

It is a super-2 number, since 2×219038378832² (a number of 23 digits) contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (219038378831) by changing a digit.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 89879118 + ... + 89881554.

Almost surely, 2^219038378832 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 219038378832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (398350476160).

219038378832 is an abundant number, since it is smaller than the sum of its proper divisors (577662573488).

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

219038378832 is a wasteful number, since it uses less digits than its factorization.

219038378832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2528 (or 2481 counting only the distinct ones).

The product of its (nonzero) digits is 3483648, while the sum is 54.

The spelling of 219038378832 in words is "two hundred nineteen billion, thirty-eight million, three hundred seventy-eight thousand, eight hundred thirty-two".