1613416617984 has 384 divisors, whose sum is σ = 4560443596800. Its totient is φ = 507200798720.

The previous prime is 1613416617947. The next prime is 1613416618013. The reversal of 1613416617984 is 4897166143161.

It is a tau number, because it is divible by the number of its divisors (384).

It is a super-2 number, since 2×1613416617984² (a number of 25 digits) contains 22 as substring.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 8447207329 + ... + 8447207519.

It is an arithmetic number, because the mean of its divisors is an integer number (11876155200).

Almost surely, 2^{1613416617984} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1613416617984, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2280221798400).

1613416617984 is an abundant number, since it is smaller than the sum of its proper divisors (2947026978816).

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

1613416617984 is an equidigital number, since it uses as much as digits as its factorization.

1613416617984 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398 (or 332 counting only the distinct ones).

The product of its digits is 5225472, while the sum is 57.

The spelling of 1613416617984 in words is "one trillion, six hundred thirteen billion, four hundred sixteen million, six hundred seventeen thousand, nine hundred eighty-four".