1617815994816 has 224 divisors, whose sum is σ = 5052146319360. Its totient is φ = 447112166400.

The previous prime is 1617815994811. The next prime is 1617815994827. The reversal of 1617815994816 is 6184995187161.

It is a tau number, because it is divible by the number of its divisors (224).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1617815994811) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 102443881 + ... + 102459671.

It is an arithmetic number, because the mean of its divisors is an integer number (22554224640).

Almost surely, 2^{1617815994816} is an apocalyptic number.

1617815994816 is a gapful number since it is divisible by the number (16) 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 1617815994816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2526073159680).

1617815994816 is an abundant number, since it is smaller than the sum of its proper divisors (3434330324544).

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

1617815994816 is a wasteful number, since it uses less digits than its factorization.

1617815994816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 18303 (or 18293 counting only the distinct ones).

The product of its digits is 26127360, while the sum is 66.

The spelling of 1617815994816 in words is "one trillion, six hundred seventeen billion, eight hundred fifteen million, nine hundred ninety-four thousand, eight hundred sixteen".