73115785017249 has 192 divisors, whose sum is σ = 116832242999808. Its totient is φ = 40317225062400.

The previous prime is 73115785017241. The next prime is 73115785017371. The reversal of 73115785017249 is 94271058751137.

It is not a de Polignac number, because 73115785017249 - 2³ = 73115785017241 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 73115785017192 and 73115785017201.

It is not an unprimeable number, because it can be changed into a prime (73115785017241) by changing a digit.

It is a polite number, since it can be written in 191 ways as a sum of consecutive naturals, for example, 4305732339 + ... + 4305749319.

It is an arithmetic number, because the mean of its divisors is an integer number (608501265624).

Almost surely, 2^{73115785017249} is an apocalyptic number.

It is an amenable number.

73115785017249 is a deficient number, since it is larger than the sum of its proper divisors (43716457982559).

73115785017249 is a wasteful number, since it uses less digits than its factorization.

73115785017249 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 17208 (or 17161 counting only the distinct ones).

The product of its (nonzero) digits is 14817600, while the sum is 60.

The spelling of 73115785017249 in words is "seventy-three trillion, one hundred fifteen billion, seven hundred eighty-five million, seventeen thousand, two hundred forty-nine".