49854404961 has 15 divisors (see below), whose sum is σ = 74476866211. Its totient is φ = 33234930288.

The previous prime is 49854404959. The next prime is 49854404989. The reversal of 49854404961 is 16940445894.

The square root of 49854404961 is 223281.

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

49854404961 is a `hidden beast` number, since 4 + 9 + 8 + 544 + 0 + 4 + 96 + 1 = 666.

It can be written as a sum of positive squares in only one way, i.e., 43751670561 + 6102734400 = 209169^2 + 78120^2 .

It is not a de Polignac number, because 49854404961 - 2¹ = 49854404959 is a prime.

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 49854404898 and 49854404907.

It is not an unprimeable number, because it can be changed into a prime (49854404911) by changing a digit.

It is a polite number, since it can be written in 14 ways as a sum of consecutive naturals, for example, 1997125 + ... + 2021933.

Almost surely, 2^49854404961 is an apocalyptic number.

49854404961 is the 223281-st square number.

49854404961 is the 111641-st centered octagonal number.

It is an amenable number.

49854404961 is a deficient number, since it is larger than the sum of its proper divisors (24622461250).

49854404961 is an frugal number, since it uses more digits than its factorization.

49854404961 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 49630 (or 24812 counting only the distinct ones).

The product of its (nonzero) digits is 4976640, while the sum is 54.

The spelling of 49854404961 in words is "forty-nine billion, eight hundred fifty-four million, four hundred four thousand, nine hundred sixty-one".