1477146113641 has 27 divisors (see below), whose sum is σ = 1633471224357. Its totient is φ = 1334777832960.

The previous prime is 1477146113539. The next prime is 1477146113683. The reversal of 1477146113641 is 1463116417741.

The square root of 1477146113641 is 1215379.

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

It can be written as a sum of positive squares in 4 ways, for example, as 759737113641 + 717409000000 = 871629^2 + 847000^2 .

It is not a de Polignac number, because 1477146113641 - 2²³ = 1477137725033 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 1477146113591 and 1477146113600.

It is not an unprimeable number, because it can be changed into a prime (1477146111641) 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, 4184549721 + ... + 4184550073.

Almost surely, 2^{1477146113641} is an apocalyptic number.

1477146113641 is a gapful number since it is divisible by the number (11) formed by its first and last digit.

1477146113641 is the 1215379-th square number.

1477146113641 is the 607690-th centered octagonal number.

It is an amenable number.

1477146113641 is a deficient number, since it is larger than the sum of its proper divisors (156325110716).

1477146113641 is an frugal number, since it uses more digits than its factorization.

1477146113641 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1354 (or 677 counting only the distinct ones).

The product of its digits is 338688, while the sum is 46.

The spelling of 1477146113641 in words is "one trillion, four hundred seventy-seven billion, one hundred forty-six million, one hundred thirteen thousand, six hundred forty-one".