47152819609 has 27 divisors (see below), whose sum is σ = 55802656917. Its totient is φ = 39727477944.

The previous prime is 47152819579. The next prime is 47152819697. The reversal of 47152819609 is 90691825174.

The square root of 47152819609 is 217147.

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

It is not a de Polignac number, because 47152819609 - 2³⁵ = 12793081241 is a prime.

It is not an unprimeable number, because it can be changed into a prime (47152810609) 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, 101841712 + ... + 101842174.

It is an arithmetic number, because the mean of its divisors is an integer number (2066765071).

Almost surely, 2^47152819609 is an apocalyptic number.

47152819609 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

47152819609 is the 217147-th square number.

47152819609 is the 108574-th centered octagonal number.

It is an amenable number.

47152819609 is a deficient number, since it is larger than the sum of its proper divisors (8649837308).

47152819609 is an frugal number, since it uses more digits than its factorization.

47152819609 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1074 (or 537 counting only the distinct ones).

The product of its (nonzero) digits is 1088640, while the sum is 52.

It can be divided in two parts, 47152 and 819609, that added together give a square (866761 = 931²).

The spelling of 47152819609 in words is "forty-seven billion, one hundred fifty-two million, eight hundred nineteen thousand, six hundred nine".