47701617649 has 27 divisors (see below), whose sum is σ = 56950889313. Its totient is φ = 39837436800.

The previous prime is 47701617647. The next prime is 47701617757. The reversal of 47701617649 is 94671610774.

The square root of 47701617649 is 218407.

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 44244177649 + 3457440000 = 210343^2 + 58800^2 .

It is not a de Polignac number, because 47701617649 - 2¹ = 47701617647 is a prime.

It is a Smith number, since the sum of its digits (52) coincides with the sum of the digits of its prime factors.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 47701617596 and 47701617605.

It is not an unprimeable number, because it can be changed into a prime (47701617647) 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, 62682429 + ... + 62683189.

Almost surely, 2^47701617649 is an apocalyptic number.

47701617649 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

47701617649 is the 218407-th square number.

47701617649 is the 109204-th centered octagonal number.

It is an amenable number.

47701617649 is a deficient number, since it is larger than the sum of its proper divisors (9249271664).

47701617649 is an frugal number, since it uses more digits than its factorization.

47701617649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1618 (or 809 counting only the distinct ones).

The product of its (nonzero) digits is 1778112, while the sum is 52.

The spelling of 47701617649 in words is "forty-seven billion, seven hundred one million, six hundred seventeen thousand, six hundred forty-nine".