1157552202816 has 441 divisors, whose sum is σ = 3670981963711. Its totient is φ = 361914200064.

The previous prime is 1157552202761. The next prime is 1157552202839. The reversal of 1157552202816 is 6182022557511.

It is a happy number.

The square root of 1157552202816 is 1075896.

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

1157552202816 is a `hidden beast` number, since 1 + 1 + 57 + 552 + 20 + 28 + 1 + 6 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 649468362816 + 508083840000 = 805896^2 + 712800^2 .

It is a Duffinian number.

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 62 ways as a sum of consecutive naturals, for example, 3950689966 + ... + 3950690258.

Almost surely, 2^{1157552202816} is an apocalyptic number.

1157552202816 is a gapful number since it is divisible by the number (16) formed by its first and last digit.

1157552202816 is the 1075896-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1157552202816

1157552202816 is an abundant number, since it is smaller than the sum of its proper divisors (2513429760895).

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

1157552202816 is an frugal number, since it uses more digits than its factorization.

1157552202816 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 650 (or 315 counting only the distinct ones).

The product of its (nonzero) digits is 336000, while the sum is 45.

The spelling of 1157552202816 in words is "one trillion, one hundred fifty-seven billion, five hundred fifty-two million, two hundred two thousand, eight hundred sixteen".