47608185249 has 27 divisors (see below), whose sum is σ = 69280802643. Its totient is φ = 31503578112.

The previous prime is 47608185227. The next prime is 47608185263. The reversal of 47608185249 is 94258180674.

It is a happy number.

The square root of 47608185249 is 218193.

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

47608185249 is a `hidden beast` number, since 4 + 7 + 608 + 1 + 8 + 5 + 24 + 9 = 666.

It can be written as a sum of positive squares in only one way, i.e., 46870085025 + 738100224 = 216495^2 + 27168^2 .

It is not a de Polignac number, because 47608185249 - 2⁹ = 47608184737 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 47608185195 and 47608185204.

It is not an unprimeable number, because it can be changed into a prime (47608185299) 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, 168226662 + ... + 168226944.

Almost surely, 2^47608185249 is an apocalyptic number.

47608185249 is the 218193-rd square number.

47608185249 is the 109097-th centered octagonal number.

It is an amenable number.

47608185249 is a deficient number, since it is larger than the sum of its proper divisors (21672617394).

47608185249 is an frugal number, since it uses more digits than its factorization.

47608185249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1086 (or 543 counting only the distinct ones).

The product of its (nonzero) digits is 3870720, while the sum is 54.

The spelling of 47608185249 in words is "forty-seven billion, six hundred eight million, one hundred eighty-five thousand, two hundred forty-nine".