1157760936049 has 9 divisors (see below), whose sum is σ = 1163823309657. Its totient is φ = 1151729995284.

The previous prime is 1157760936037. The next prime is 1157760936083. The reversal of 1157760936049 is 9406390677511.

The square root of 1157760936049 is 1075993.

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

It is not a de Polignac number, because 1157760936049 - 2⁷ = 1157760935921 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1157760935984 and 1157760936002.

It is not an unprimeable number, because it can be changed into a prime (1157760936029) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 214119904 + ... + 214125310.

It is an arithmetic number, because the mean of its divisors is an integer number (129313701073).

Almost surely, 2^{1157760936049} is an apocalyptic number.

1157760936049 is the 1075993-rd square number.

1157760936049 is the 537997-th centered octagonal number.

It is an amenable number.

1157760936049 is a deficient number, since it is larger than the sum of its proper divisors (6062373608).

1157760936049 is an frugal number, since it uses more digits than its factorization.

1157760936049 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11212 (or 5606 counting only the distinct ones).

The product of its (nonzero) digits is 8573040, while the sum is 58.

It can be divided in two parts, 1157760 and 936049, that added together give a square (2093809 = 1447²).

The spelling of 1157760936049 in words is "one trillion, one hundred fifty-seven billion, seven hundred sixty million, nine hundred thirty-six thousand, forty-nine".