48711579849 has 45 divisors (see below), whose sum is σ = 73713496087. Its totient is φ = 32057250336.

The previous prime is 48711579827. The next prime is 48711579857. The reversal of 48711579849 is 94897511784.

The square root of 48711579849 is 220707.

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

48711579849 is a `hidden beast` number, since 4 + 8 + 7 + 11 + 579 + 8 + 49 = 666.

It can be written as a sum of positive squares in only one way, i.e., 28613414025 + 20098165824 = 169155^2 + 141768^2 .

It is not a de Polignac number, because 48711579849 - 2²⁷ = 48577362121 is a prime.

It is a super-2 number, since 2×48711579849² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48711579899) by changing a digit.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 272131642 + ... + 272131820.

Almost surely, 2^48711579849 is an apocalyptic number.

48711579849 is the 220707-th square number.

48711579849 is the 110354-th centered octagonal number.

It is an amenable number.

48711579849 is a deficient number, since it is larger than the sum of its proper divisors (25001916238).

48711579849 is an frugal number, since it uses more digits than its factorization.

48711579849 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 644 (or 319 counting only the distinct ones).

The product of its digits is 20321280, while the sum is 63.

The spelling of 48711579849 in words is "forty-eight billion, seven hundred eleven million, five hundred seventy-nine thousand, eight hundred forty-nine".