49662568201 has 27 divisors (see below), whose sum is σ = 54039306069. Its totient is φ = 45632753568.

The previous prime is 49662568177. The next prime is 49662568213. The reversal of 49662568201 is 10286526694.

The square root of 49662568201 is 222851.

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 414081801 + 49248486400 = 20349^2 + 221920^2 .

It is not a de Polignac number, because 49662568201 - 2¹⁷ = 49662437129 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (49662568301) 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, 156664095 + ... + 156664411.

Almost surely, 2^49662568201 is an apocalyptic number.

49662568201 is the 222851-st square number.

49662568201 is the 111426-th centered octagonal number.

It is an amenable number.

49662568201 is a deficient number, since it is larger than the sum of its proper divisors (4376737868).

49662568201 is an frugal number, since it uses more digits than its factorization.

49662568201 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 746 (or 373 counting only the distinct ones).

The product of its (nonzero) digits is 1244160, while the sum is 49.

Multiplying 49662568201 by its sum of digits (49), we get a square (2433465841849 = 1559957²).

The spelling of 49662568201 in words is "forty-nine billion, six hundred sixty-two million, five hundred sixty-eight thousand, two hundred one".