1477812216409 has 27 divisors (see below), whose sum is σ = 1608180225183. Its totient is φ = 1357719072192.

The previous prime is 1477812216367. The next prime is 1477812216421. The reversal of 1477812216409 is 9046122187741.

The square root of 1477812216409 is 1215653.

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., 1150545843225 + 327266373184 = 1072635^2 + 572072^2 .

It is not a de Polignac number, because 1477812216409 - 2⁷ = 1477812216281 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (1477812216809) 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, 888641512 + ... + 888643174.

Almost surely, 2^{1477812216409} is an apocalyptic number.

1477812216409 is the 1215653-rd square number.

1477812216409 is the 607827-th centered octagonal number.

It is an amenable number.

1477812216409 is a deficient number, since it is larger than the sum of its proper divisors (130368008774).

1477812216409 is an frugal number, since it uses more digits than its factorization.

1477812216409 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3446 (or 1723 counting only the distinct ones).

The product of its (nonzero) digits is 1354752, while the sum is 52.

The spelling of 1477812216409 in words is "one trillion, four hundred seventy-seven billion, eight hundred twelve million, two hundred sixteen thousand, four hundred nine".