45513879782401 has 2 divisors, whose sum is σ = 45513879782402. Its totient is φ = 45513879782400.

The previous prime is 45513879782387. The next prime is 45513879782417. The reversal of 45513879782401 is 10428797831554.

It is a happy number.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 35043795248400 + 10470084534001 = 5919780^2 + 3235751^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-45513879782401 is a prime.

It is not a weakly prime, because it can be changed into another prime (45513879782491) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 22756939891200 + 22756939891201.

It is an arithmetic number, because the mean of its divisors is an integer number (22756939891201).

Almost surely, 2^{45513879782401} is an apocalyptic number.

It is an amenable number.

45513879782401 is a deficient number, since it is larger than the sum of its proper divisors (1).

45513879782401 is an equidigital number, since it uses as much as digits as its factorization.

45513879782401 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 67737600, while the sum is 64.

The spelling of 45513879782401 in words is "forty-five trillion, five hundred thirteen billion, eight hundred seventy-nine million, seven hundred eighty-two thousand, four hundred one".