45577078880257 has 16 divisors (see below), whose sum is σ = 45686847280464. Its totient is φ = 45467452800000.

The previous prime is 45577078880237. The next prime is 45577078880261. The reversal of 45577078880257 is 75208887077554.

It can be written as a sum of positive squares in 8 ways, for example, as 10081888689601 + 35495190190656 = 3175199^2 + 5957784^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-45577078880257 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 45577078880257.

It is not an unprimeable number, because it can be changed into a prime (45577078880237) 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, 6510077757 + ... + 6510084757.

It is an arithmetic number, because the mean of its divisors is an integer number (2855427955029).

Almost surely, 2^{45577078880257} is an apocalyptic number.

It is an amenable number.

45577078880257 is a deficient number, since it is larger than the sum of its proper divisors (109768400207).

45577078880257 is a wasteful number, since it uses less digits than its factorization.

45577078880257 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 15060.

The product of its (nonzero) digits is 1229312000, while the sum is 73.

The spelling of 45577078880257 in words is "forty-five trillion, five hundred seventy-seven billion, seventy-eight million, eight hundred eighty thousand, two hundred fifty-seven".