61344354249 has 24 divisors (see below), whose sum is σ = 89012772992. Its totient is φ = 40709796480.

The previous prime is 61344354241. The next prime is 61344354257. The reversal of 61344354249 is 94245344316.

61344354249 is a `hidden beast` number, since 6 + 13 + 44 + 354 + 249 = 666.

It is an interprime number because it is at equal distance from previous prime (61344354241) and next prime (61344354257).

It is not a de Polignac number, because 61344354249 - 2³ = 61344354241 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (61344354241) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7507164 + ... + 7515330.

Almost surely, 2^61344354249 is an apocalyptic number.

It is an amenable number.

61344354249 is a deficient number, since it is larger than the sum of its proper divisors (27668418743).

61344354249 is a wasteful number, since it uses less digits than its factorization.

61344354249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 11877 (or 11874 counting only the distinct ones).

The product of its digits is 1244160, while the sum is 45.

The spelling of 61344354249 in words is "sixty-one billion, three hundred forty-four million, three hundred fifty-four thousand, two hundred forty-nine".