49999762244601 has 81 divisors (see below), whose sum is σ = 81763170294351. Its totient is φ = 29427564662496.

The previous prime is 49999762244543. The next prime is 49999762244603. The reversal of 49999762244601 is 10644226799994.

The square root of 49999762244601 is 7071051.

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

49999762244601 is a `hidden beast` number, since 4 + 9 + 9 + 9 + 9 + 7 + 6 + 2 + 2 + 4 + 4 + 601 = 666.

It can be written as a sum of positive squares in only one way, i.e., 7396414533225 + 42603347711376 = 2719635^2 + 6527124^2 .

It is not a de Polignac number, because 49999762244601 - 2³⁵ = 49965402506233 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 49999762244601.

It is not an unprimeable number, because it can be changed into a prime (49999762244603) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 6342728806 + ... + 6342736688.

Almost surely, 2^{49999762244601} is an apocalyptic number.

49999762244601 is the 7071051-st square number.

49999762244601 is the 3535526-th centered octagonal number.

It is an amenable number.

49999762244601 is a deficient number, since it is larger than the sum of its proper divisors (31763408049750).

49999762244601 is an frugal number, since it uses more digits than its factorization.

49999762244601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 15844 (or 7922 counting only the distinct ones).

The product of its (nonzero) digits is 423263232, while the sum is 72.

The spelling of 49999762244601 in words is "forty-nine trillion, nine hundred ninety-nine billion, seven hundred sixty-two million, two hundred forty-four thousand, six hundred one".