1599514148961 has 27 divisors (see below), whose sum is σ = 2392990443961. Its totient is φ = 1029501501504.

The previous prime is 1599514148927. The next prime is 1599514148963. The reversal of 1599514148961 is 1698414159951.

The square root of 1599514148961 is 1264719.

It is a perfect power (a square), and thus also a powerful number.

1599514148961 is a `hidden beast` number, since 1 + 5 + 9 + 9 + 5 + 141 + 489 + 6 + 1 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 98781347025 + 1500732801936 = 314295^2 + 1225044^2 .

It is not a de Polignac number, because 1599514148961 - 2¹¹ = 1599514146913 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1599514148963) 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 26 ways as a sum of consecutive naturals, for example, 110023285 + ... + 110037821.

Almost surely, 2^{1599514148961} is an apocalyptic number.

1599514148961 is the 1264719-th square number.

1599514148961 is the 632360-th centered octagonal number.

It is an amenable number.

1599514148961 is a deficient number, since it is larger than the sum of its proper divisors (793476295000).

1599514148961 is an frugal number, since it uses more digits than its factorization.

1599514148961 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 29138 (or 14569 counting only the distinct ones).

The product of its digits is 13996800, while the sum is 63.

The spelling of 1599514148961 in words is "one trillion, five hundred ninety-nine billion, five hundred fourteen million, one hundred forty-eight thousand, nine hundred sixty-one".