1187705452761 has 75 divisors (see below), whose sum is σ = 1889624320441. Its totient is φ = 743448366144.

The previous prime is 1187705452741. The next prime is 1187705452783. The reversal of 1187705452761 is 1672545077811.

It is a happy number.

The square root of 1187705452761 is 1089819.

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

1187705452761 is a `hidden beast` number, since 1 + 1 + 8 + 7 + 7 + 0 + 54 + 527 + 61 = 666.

It can be written as a sum of positive squares in 2 ways, for example, as 368608051161 + 819097401600 = 607131^2 + 905040^2 .

It is not a de Polignac number, because 1187705452761 - 2²³ = 1187697064153 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 1187705452698 and 1187705452707.

It is not an unprimeable number, because it can be changed into a prime (1187705452741) by changing a digit.

It is a polite number, since it can be written in 74 ways as a sum of consecutive naturals, for example, 2834619010 + ... + 2834619428.

Almost surely, 2^{1187705452761} is an apocalyptic number.

1187705452761 is the 1089819-th square number.

1187705452761 is the 544910-th centered octagonal number.

It is an amenable number.

1187705452761 is a deficient number, since it is larger than the sum of its proper divisors (701918867680).

1187705452761 is an frugal number, since it uses more digits than its factorization.

1187705452761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 918 (or 439 counting only the distinct ones).

The product of its (nonzero) digits is 3292800, while the sum is 54.

The spelling of 1187705452761 in words is "one trillion, one hundred eighty-seven billion, seven hundred five million, four hundred fifty-two thousand, seven hundred sixty-one".