1515161666304 has 1440 divisors, whose sum is σ = 5600333426688. Its totient is φ = 401117184000.

The previous prime is 1515161666279. The next prime is 1515161666339. The reversal of 1515161666304 is 4036661615151.

It is a super-2 number, since 2×1515161666304² (a number of 25 digits) contains 22 as substring.

It is a self number, because there is not a number n which added to its sum of digits gives 1515161666304.

It is an unprimeable number.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 4871902309 + ... + 4871902619.

Almost surely, 2^{1515161666304} 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 1515161666304, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (2800166713344).

1515161666304 is an abundant number, since it is smaller than the sum of its proper divisors (4085171760384).

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

1515161666304 is a wasteful number, since it uses less digits than its factorization.

1515161666304 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 447 (or 424 counting only the distinct ones).

The product of its (nonzero) digits is 388800, while the sum is 45.

The spelling of 1515161666304 in words is "one trillion, five hundred fifteen billion, one hundred sixty-one million, six hundred sixty-six thousand, three hundred four".