219070816146 has 192 divisors, whose sum is σ = 606202571520. Its totient is φ = 55612085760.

The previous prime is 219070816141. The next prime is 219070816147. The reversal of 219070816146 is 641618070912.

219070816146 is a `hidden beast` number, since 21 + 9 + 0 + 7 + 0 + 8 + 1 + 614 + 6 = 666.

It is not an unprimeable number, because it can be changed into a prime (219070816141) 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, 15716196 + ... + 15730128.

It is an arithmetic number, because the mean of its divisors is an integer number (3157305060).

Almost surely, 2^219070816146 is an apocalyptic number.

219070816146 is a gapful number since it is divisible by the number (26) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 219070816146, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (303101285760).

219070816146 is an abundant number, since it is smaller than the sum of its proper divisors (387131755374).

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

219070816146 is a wasteful number, since it uses less digits than its factorization.

219070816146 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 14321 (or 14318 counting only the distinct ones).

The product of its (nonzero) digits is 145152, while the sum is 45.

The spelling of 219070816146 in words is "two hundred nineteen billion, seventy million, eight hundred sixteen thousand, one hundred forty-six".