48048201601 has 9 divisors (see below), whose sum is σ = 48517180803. Its totient is φ = 47583718920.

The previous prime is 48048201599. The next prime is 48048201611. The reversal of 48048201601 is 10610284084.

The square root of 48048201601 is 219199.

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

It can be written as a sum of positive squares in only one way, i.e., 33489366001 + 14558835600 = 183001^2 + 120660^2 .

It is not a de Polignac number, because 48048201601 - 2¹ = 48048201599 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48048201611) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 23891686 + ... + 23893696.

It is an arithmetic number, because the mean of its divisors is an integer number (5390797867).

Almost surely, 2^48048201601 is an apocalyptic number.

48048201601 is the 219199-th square number.

48048201601 is the 109600-th centered octagonal number.

It is an amenable number.

48048201601 is a deficient number, since it is larger than the sum of its proper divisors (468979202).

48048201601 is an frugal number, since it uses more digits than its factorization.

48048201601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4240 (or 2120 counting only the distinct ones).

The product of its (nonzero) digits is 12288, while the sum is 34.

Adding to 48048201601 its reverse (10610284084), we get a palindrome (58658485685).

The spelling of 48048201601 in words is "forty-eight billion, forty-eight million, two hundred one thousand, six hundred one".