4137783450657 has 16 divisors (see below), whose sum is σ = 5651779842240. Its totient is φ = 2691158803200.

The previous prime is 4137783450617. The next prime is 4137783450709. The reversal of 4137783450657 is 7560543877314.

4137783450657 is digitally balanced in base 2 and base 3, because in such bases it contains all the possibile digits an equal number of times.

It is a de Polignac number, because none of the positive numbers 2^k-4137783450657 is a prime.

It is a self number, because there is not a number n which added to its sum of digits gives 4137783450657.

It is not an unprimeable number, because it can be changed into a prime (4137783450617) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3651357 + ... + 4648437.

It is an arithmetic number, because the mean of its divisors is an integer number (353236240140).

Almost surely, 2^{4137783450657} is an apocalyptic number.

It is an amenable number.

4137783450657 is a deficient number, since it is larger than the sum of its proper divisors (1513996391583).

4137783450657 is a wasteful number, since it uses less digits than its factorization.

4137783450657 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1030864.

The product of its (nonzero) digits is 59270400, while the sum is 60.

The spelling of 4137783450657 in words is "four trillion, one hundred thirty-seven billion, seven hundred eighty-three million, four hundred fifty thousand, six hundred fifty-seven".