1609285319460 has 2304 divisors, whose sum is σ = 7001358336000. Its totient is φ = 304671144960.

The previous prime is 1609285319437. The next prime is 1609285319497. The reversal of 1609285319460 is 649135829061.

1609285319460 is a `hidden beast` number, since 1 + 6 + 0 + 9 + 285 + 319 + 46 + 0 = 666.

It is a super-4 number, since 4×1609285319460⁴ (a number of 50 digits) contains 4444 as substring.

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

It is a junction number, because it is equal to n+sod(n) for n = 1609285319397 and 1609285319406.

It is an unprimeable number.

It is a polite number, since it can be written in 767 ways as a sum of consecutive naturals, for example, 34240113157 + ... + 34240113203.

It is an arithmetic number, because the mean of its divisors is an integer number (3038784000).

Almost surely, 2^{1609285319460} is an apocalyptic number.

1609285319460 is a gapful number since it is divisible by the number (10) 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 1609285319460, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3500679168000).

1609285319460 is an abundant number, since it is smaller than the sum of its proper divisors (5392073016540).

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

1609285319460 is a wasteful number, since it uses less digits than its factorization.

1609285319460 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 168 (or 127 counting only the distinct ones).

The product of its (nonzero) digits is 2799360, while the sum is 54.

The spelling of 1609285319460 in words is "one trillion, six hundred nine billion, two hundred eighty-five million, three hundred nineteen thousand, four hundred sixty".