219416742410112 has 192 divisors, whose sum is σ = 680843020384800. Its totient is φ = 67425501523968.

The previous prime is 219416742410003. The next prime is 219416742410141. The reversal of 219416742410112 is 211014247614912.

219416742410112 is a `hidden beast` number, since 2 + 1 + 9 + 41 + 67 + 424 + 10 + 112 = 666.

It is a tau number, because it is divible by the number of its divisors (192).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2099589 + ... + 21053307.

Almost surely, 2^{219416742410112} 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 219416742410112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (340421510192400).

219416742410112 is an abundant number, since it is smaller than the sum of its proper divisors (461426277974688).

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

219416742410112 is a wasteful number, since it uses less digits than its factorization.

219416742410112 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 18954525 (or 18954510 counting only the distinct ones).

The product of its (nonzero) digits is 193536, while the sum is 45.

The spelling of 219416742410112 in words is "two hundred nineteen trillion, four hundred sixteen billion, seven hundred forty-two million, four hundred ten thousand, one hundred twelve".