1187683656481 has 45 divisors (see below), whose sum is σ = 1449908298321. Its totient is φ = 972746076456.

The previous prime is 1187683656473. The next prime is 1187683656487. The reversal of 1187683656481 is 1846563867811.

The square root of 1187683656481 is 1089809.

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

It is not a de Polignac number, because 1187683656481 - 2³ = 1187683656473 is a prime.

It is a super-2 number, since 2×1187683656481² (a number of 25 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (1187683656487) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1228214260 + ... + 1228215226.

Almost surely, 2^{1187683656481} is an apocalyptic number.

1187683656481 is the 1089809-th square number.

1187683656481 is the 544905-th centered octagonal number.

It is an amenable number.

1187683656481 is a deficient number, since it is larger than the sum of its proper divisors (262224641840).

1187683656481 is an frugal number, since it uses more digits than its factorization.

1187683656481 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2008 (or 997 counting only the distinct ones).

The product of its digits is 46448640, while the sum is 64.

Multiplying 1187683656481 by its sum of digits (64), we get a square (76011754014784 = 8718472²).

It can be divided in two parts, 1187683 and 656481, that added together give a square (1844164 = 1358²).

The spelling of 1187683656481 in words is "one trillion, one hundred eighty-seven billion, six hundred eighty-three million, six hundred fifty-six thousand, four hundred eighty-one".