1517473314168 has 192 divisors, whose sum is σ = 4642895980800. Its totient is φ = 404597276160.

The previous prime is 1517473314163. The next prime is 1517473314187. The reversal of 1517473314168 is 8614133747151.

It is a hoax number, since the sum of its digits (51) coincides with the sum of the digits of its distinct prime factors.

It is a self number, because there is not a number n which added to its sum of digits gives 1517473314168.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1517473314163) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 3435523 + ... + 3851981.

It is an arithmetic number, because the mean of its divisors is an integer number (24181749900).

Almost surely, 2^{1517473314168} 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 1517473314168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2321447990400).

1517473314168 is an abundant number, since it is smaller than the sum of its proper divisors (3125422666632).

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

1517473314168 is a wasteful number, since it uses less digits than its factorization.

1517473314168 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 416562 (or 416535 counting only the distinct ones).

The product of its digits is 1693440, while the sum is 51.

The spelling of 1517473314168 in words is "one trillion, five hundred seventeen billion, four hundred seventy-three million, three hundred fourteen thousand, one hundred sixty-eight".