1157283337769 has 48 divisors (see below), whose sum is σ = 1342079874864. Its totient is φ = 993927168000.

The previous prime is 1157283337759. The next prime is 1157283337781. The reversal of 1157283337769 is 9677333827511.

It is a happy number.

It can be written as a sum of positive squares in 24 ways, for example, as 100005840169 + 1057277497600 = 316237^2 + 1028240^2 .

It is not a de Polignac number, because 1157283337769 - 2²⁰ = 1157282289193 is a prime.

It is a super-2 number, since 2×1157283337769² (a number of 25 digits) contains 22 as substring.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (1157283337729) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 212694089 + ... + 212699529.

It is an arithmetic number, because the mean of its divisors is an integer number (27959997393).

Almost surely, 2^{1157283337769} is an apocalyptic number.

It is an amenable number.

1157283337769 is a deficient number, since it is larger than the sum of its proper divisors (184796537095).

1157283337769 is a wasteful number, since it uses less digits than its factorization.

1157283337769 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6318 (or 6305 counting only the distinct ones).

The product of its digits is 40007520, while the sum is 62.

The spelling of 1157283337769 in words is "one trillion, one hundred fifty-seven billion, two hundred eighty-three million, three hundred thirty-seven thousand, seven hundred sixty-nine".