1328417904618 has 384 divisors, whose sum is σ = 3713013561600. Its totient is φ = 349845350400.

The previous prime is 1328417904589. The next prime is 1328417904641. The reversal of 1328417904618 is 8164097148231.

1328417904618 is a `hidden beast` number, since 1 + 3 + 2 + 8 + 4 + 17 + 9 + 0 + 4 + 618 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a Curzon number.

It is an unprimeable number.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 1073902296 + ... + 1073903532.

It is an arithmetic number, because the mean of its divisors is an integer number (9669306150).

Almost surely, 2^{1328417904618} is an apocalyptic number.

1328417904618 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 1328417904618, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1856506780800).

1328417904618 is an abundant number, since it is smaller than the sum of its proper divisors (2384595656982).

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

1328417904618 is a wasteful number, since it uses less digits than its factorization.

1328417904618 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1843 (or 1830 counting only the distinct ones).

The product of its (nonzero) digits is 2322432, while the sum is 54.

The spelling of 1328417904618 in words is "one trillion, three hundred twenty-eight billion, four hundred seventeen million, nine hundred four thousand, six hundred eighteen".