1178807461441 has 27 divisors (see below), whose sum is σ = 1215192928131. Its totient is φ = 1143507154464.

The previous prime is 1178807461423. The next prime is 1178807461453. The reversal of 1178807461441 is 1441647088711.

The square root of 1178807461441 is 1085729.

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., 669148540225 + 509658921216 = 818015^2 + 713904^2 .

It is not a de Polignac number, because 1178807461441 - 2²⁵ = 1178773907009 is a prime.

It is a super-2 number, since 2×1178807461441² (a number of 25 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1178807461421) by changing a digit.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 8480629150 + ... + 8480629288.

Almost surely, 2^{1178807461441} is an apocalyptic number.

1178807461441 is the 1085729-th square number.

1178807461441 is the 542865-th centered octagonal number.

It is an amenable number.

1178807461441 is a deficient number, since it is larger than the sum of its proper divisors (36385466690).

1178807461441 is an frugal number, since it uses more digits than its factorization.

1178807461441 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 638 (or 319 counting only the distinct ones).

The product of its (nonzero) digits is 1204224, while the sum is 52.

The spelling of 1178807461441 in words is "one trillion, one hundred seventy-eight billion, eight hundred seven million, four hundred sixty-one thousand, four hundred forty-one".