1617460508160 has 960 divisors, whose sum is σ = 6709130588160. Its totient is φ = 352107233280.

The previous prime is 1617460508119. The next prime is 1617460508219. The reversal of 1617460508160 is 618050647161.

1617460508160 is a `hidden beast` number, since 1 + 6 + 1 + 7 + 460 + 50 + 81 + 60 = 666.

It is a tau number, because it is divible by the number of its divisors (960).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 1005257436 + ... + 1005259044.

It is an arithmetic number, because the mean of its divisors is an integer number (6988677696).

Almost surely, 2^{1617460508160} is an apocalyptic number.

1617460508160 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 1617460508160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (3354565294080).

1617460508160 is an abundant number, since it is smaller than the sum of its proper divisors (5091670080000).

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

1617460508160 is a wasteful number, since it uses less digits than its factorization.

1617460508160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1939 (or 1920 counting only the distinct ones).

The product of its (nonzero) digits is 241920, while the sum is 45.

The spelling of 1617460508160 in words is "one trillion, six hundred seventeen billion, four hundred sixty million, five hundred eight thousand, one hundred sixty".