49693772241 has 135 divisors (see below), whose sum is σ = 83253893547. Its totient is φ = 29532574080.

The previous prime is 49693772221. The next prime is 49693772251. The reversal of 49693772241 is 14227739694.

The square root of 49693772241 is 222921.

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

49693772241 is a `hidden beast` number, since 49 + 6 + 9 + 377 + 224 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 38688923025 + 11004849216 = 196695^2 + 104904^2 .

It is not a de Polignac number, because 49693772241 - 2³¹ = 47546288593 is a prime.

Its product of digits (4572288) is a multiple of the sum of its prime divisors (98).

It is not an unprimeable number, because it can be changed into a prime (49693772221) by changing a digit.

It is a polite number, since it can be written in 134 ways as a sum of consecutive naturals, for example, 1057314280 + ... + 1057314326.

Almost surely, 2^49693772241 is an apocalyptic number.

49693772241 is the 222921-st square number.

49693772241 is the 111461-st centered octagonal number.

It is an amenable number.

49693772241 is a deficient number, since it is larger than the sum of its proper divisors (33560121306).

49693772241 is an equidigital number, since it uses as much as digits as its factorization.

49693772241 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 202 (or 98 counting only the distinct ones).

The product of its digits is 4572288, while the sum is 54.

The spelling of 49693772241 in words is "forty-nine billion, six hundred ninety-three million, seven hundred seventy-two thousand, two hundred forty-one".