48201763401 has 27 divisors (see below), whose sum is σ = 76541209927. Its totient is φ = 29208798960.

The previous prime is 48201763387. The next prime is 48201763403. The reversal of 48201763401 is 10436710284.

The square root of 48201763401 is 219549.

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

48201763401 is a `hidden beast` number, since 4 + 8 + 2 + 0 + 17 + 634 + 0 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1166564025 + 47035199376 = 34155^2 + 216876^2 .

It is not a de Polignac number, because 48201763401 - 2⁵ = 48201763369 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (48201763403) 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, 7241791 + ... + 7248443.

Almost surely, 2^48201763401 is an apocalyptic number.

48201763401 is the 219549-th square number.

48201763401 is the 109775-th centered octagonal number.

It is an amenable number.

48201763401 is a deficient number, since it is larger than the sum of its proper divisors (28339446526).

48201763401 is an frugal number, since it uses more digits than its factorization.

48201763401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13334 (or 6667 counting only the distinct ones).

The product of its (nonzero) digits is 32256, while the sum is 36.

Multiplying 48201763401 by its sum of digits (36), we get a square (1735263482436 = 1317294²).

The spelling of 48201763401 in words is "forty-eight billion, two hundred one million, seven hundred sixty-three thousand, four hundred one".