83761641249 has 48 divisors (see below), whose sum is σ = 132282378816. Its totient is φ = 46830833280.

The previous prime is 83761641193. The next prime is 83761641263. The reversal of 83761641249 is 94214616738.

It is a happy number.

It is not a de Polignac number, because 83761641249 - 2¹⁹ = 83761116961 is a prime.

It is not an unprimeable number, because it can be changed into a prime (83761641289) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 9372187 + ... + 9381119.

It is an arithmetic number, because the mean of its divisors is an integer number (2755882892).

Almost surely, 2^83761641249 is an apocalyptic number.

It is an amenable number.

83761641249 is a deficient number, since it is larger than the sum of its proper divisors (48520737567).

83761641249 is a wasteful number, since it uses less digits than its factorization.

83761641249 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10958 (or 10947 counting only the distinct ones).

The product of its digits is 1741824, while the sum is 51.

The spelling of 83761641249 in words is "eighty-three billion, seven hundred sixty-one million, six hundred forty-one thousand, two hundred forty-nine".