1149728640516 has 81 divisors (see below), whose sum is σ = 2925987306879. Its totient is φ = 380658748032.

The previous prime is 1149728640497. The next prime is 1149728640527. The reversal of 1149728640516 is 6150468279411.

The square root of 1149728640516 is 1072254.

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

1149728640516 is a `hidden beast` number, since 1 + 1 + 4 + 9 + 7 + 2 + 86 + 40 + 516 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 892922942916 + 256805697600 = 944946^2 + 506760^2 .

It is an unprimeable number.

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, 1112999136 + ... + 1113000168.

Almost surely, 2^{1149728640516} is an apocalyptic number.

1149728640516 is the 1072254-th square number.

It is an amenable number.

1149728640516 is an abundant number, since it is smaller than the sum of its proper divisors (1776258666363).

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

1149728640516 is an equidigital number, since it uses as much as digits as its factorization.

1149728640516 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2422 (or 1211 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

It can be divided in two parts, 1149728 and 640516, that added together give a square (1790244 = 1338²).

The spelling of 1149728640516 in words is "one trillion, one hundred forty-nine billion, seven hundred twenty-eight million, six hundred forty thousand, five hundred sixteen".