1157696377369 has 81 divisors (see below), whose sum is σ = 1451887488639. Its totient is φ = 920335711680.

The previous prime is 1157696377363. The next prime is 1157696377391. The reversal of 1157696377369 is 9637736967511.

The square root of 1157696377369 is 1075963.

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

It can be written as a sum of positive squares in only one way, i.e., 55784298969 + 1101912078400 = 236187^2 + 1049720^2 .

It is not a de Polignac number, because 1157696377369 - 2⁹ = 1157696376857 is a prime.

It is a super-2 number, since 2×1157696377369² (a number of 25 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 1157696377298 and 1157696377307.

It is not an unprimeable number, because it can be changed into a prime (1157696377363) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 7102431682 + ... + 7102431844.

Almost surely, 2^{1157696377369} is an apocalyptic number.

1157696377369 is the 1075963-rd square number.

1157696377369 is the 537982-nd centered octagonal number.

It is an amenable number.

1157696377369 is a deficient number, since it is larger than the sum of its proper divisors (294191111270).

1157696377369 is an frugal number, since it uses more digits than its factorization.

1157696377369 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 468 (or 234 counting only the distinct ones).

The product of its digits is 270050760, while the sum is 70.

The spelling of 1157696377369 in words is "one trillion, one hundred fifty-seven billion, six hundred ninety-six million, three hundred seventy-seven thousand, three hundred sixty-nine".