54336464767601 has 2 divisors, whose sum is σ = 54336464767602. Its totient is φ = 54336464767600.

The previous prime is 54336464767583. The next prime is 54336464767691. The reversal of 54336464767601 is 10676746463345.

54336464767601 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 38593416769600 + 15743047998001 = 6212360^2 + 3967751^2 .

It is a cyclic number.

It is not a de Polignac number, because 54336464767601 - 2¹⁸ = 54336464505457 is a prime.

It is a super-3 number, since 3×54336464767601³ (a number of 42 digits) contains 333 as substring.

It is not a weakly prime, because it can be changed into another prime (54336464767691) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 27168232383800 + 27168232383801.

It is an arithmetic number, because the mean of its divisors is an integer number (27168232383801).

Almost surely, 2^{54336464767601} is an apocalyptic number.

It is an amenable number.

54336464767601 is a deficient number, since it is larger than the sum of its proper divisors (1).

54336464767601 is an equidigital number, since it uses as much as digits as its factorization.

54336464767601 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 182891520, while the sum is 62.

The spelling of 54336464767601 in words is "fifty-four trillion, three hundred thirty-six billion, four hundred sixty-four million, seven hundred sixty-seven thousand, six hundred one".