48001742649 has 27 divisors (see below), whose sum is σ = 80663720943. Its totient is φ = 27426938112.

The previous prime is 48001742629. The next prime is 48001742683. The reversal of 48001742649 is 94624710084.

The square root of 48001742649 is 219093.

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

48001742649 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 31005927225 + 16995815424 = 176085^2 + 130368^2 .

It is not a de Polignac number, because 48001742649 - 2³⁵ = 13642004281 is a prime.

It is a super-3 number, since 3×48001742649³ (a number of 33 digits) contains 333 as substring.

It is not an unprimeable number, because it can be changed into a prime (48001742629) 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, 4595737 + ... + 4606169.

Almost surely, 2^48001742649 is an apocalyptic number.

48001742649 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

48001742649 is the 219093-rd square number.

48001742649 is the 109547-th centered octagonal number.

It is an amenable number.

48001742649 is a deficient number, since it is larger than the sum of its proper divisors (32661978294).

48001742649 is an frugal number, since it uses more digits than its factorization.

48001742649 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 20886 (or 10443 counting only the distinct ones).

The product of its (nonzero) digits is 387072, while the sum is 45.

The spelling of 48001742649 in words is "forty-eight billion, one million, seven hundred forty-two thousand, six hundred forty-nine".