1628164294218 has 432 divisors, whose sum is σ = 4623914550528. Its totient is φ = 405007257600.

The previous prime is 1628164294193. The next prime is 1628164294247. The reversal of 1628164294218 is 8124924618261.

1628164294218 is a `hidden beast` number, since 1 + 6 + 2 + 81 + 64 + 294 + 218 = 666.

Its product of digits (2654208) is a multiple of the sum of its prime divisors (324).

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 8436084330 + ... + 8436084522.

It is an arithmetic number, because the mean of its divisors is an integer number (10703505904).

Almost surely, 2^{1628164294218} is an apocalyptic number.

1628164294218 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is a practical number, because each smaller number is the sum of distinct divisors of 1628164294218, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2311957275264).

1628164294218 is an abundant number, since it is smaller than the sum of its proper divisors (2995750256310).

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

1628164294218 is a wasteful number, since it uses less digits than its factorization.

1628164294218 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 531 (or 324 counting only the distinct ones).

The product of its digits is 2654208, while the sum is 54.

The spelling of 1628164294218 in words is "one trillion, six hundred twenty-eight billion, one hundred sixty-four million, two hundred ninety-four thousand, two hundred eighteen".