1609408741248 has 1152 divisors, whose sum is σ = 6125697377280. Its totient is φ = 403958016000.

The previous prime is 1609408741229. The next prime is 1609408741261. The reversal of 1609408741248 is 8421478049061.

1609408741248 is a `hidden beast` number, since 1 + 60 + 94 + 0 + 87 + 412 + 4 + 8 = 666.

It is a tau number, because it is divible by the number of its divisors (1152).

It is a junction number, because it is equal to n+sod(n) for n = 1609408741194 and 1609408741203.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 143 ways as a sum of consecutive naturals, for example, 2329100583 + ... + 2329101273.

It is an arithmetic number, because the mean of its divisors is an integer number (5317445640).

Almost surely, 2^{1609408741248} is an apocalyptic number.

1609408741248 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1609408741248, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3062848688640).

1609408741248 is an abundant number, since it is smaller than the sum of its proper divisors (4516288636032).

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

1609408741248 is a wasteful number, since it uses less digits than its factorization.

1609408741248 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 789 (or 745 counting only the distinct ones).

The product of its (nonzero) digits is 3096576, while the sum is 54.

The spelling of 1609408741248 in words is "one trillion, six hundred nine billion, four hundred eight million, seven hundred forty-one thousand, two hundred forty-eight".