1157498408641 has 27 divisors (see below), whose sum is σ = 1253953265929. Its totient is φ = 1068331296032.

The previous prime is 1157498408639. The next prime is 1157498408683. The reversal of 1157498408641 is 1468048947511.

The square root of 1157498408641 is 1075871.

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

It can be written as a sum of positive squares in 4 ways, for example, as 26032209025 + 1131466199616 = 161345^2 + 1063704^2 .

It is not a de Polignac number, because 1157498408641 - 2¹ = 1157498408639 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1157498408621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 717605151 + ... + 717606763.

Almost surely, 2^{1157498408641} is an apocalyptic number.

1157498408641 is the 1075871-st square number.

1157498408641 is the 537936-th centered octagonal number.

It is an amenable number.

1157498408641 is a deficient number, since it is larger than the sum of its proper divisors (96454857288).

1157498408641 is an frugal number, since it uses more digits than its factorization.

1157498408641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3330 (or 1665 counting only the distinct ones).

The product of its (nonzero) digits is 7741440, while the sum is 58.

The spelling of 1157498408641 in words is "one trillion, one hundred fifty-seven billion, four hundred ninety-eight million, four hundred eight thousand, six hundred forty-one".