34799861522801 has 2 divisors, whose sum is σ = 34799861522802. Its totient is φ = 34799861522800.

The previous prime is 34799861522761. The next prime is 34799861522807. The reversal of 34799861522801 is 10822516899743.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 17759683922176 + 17040177600625 = 4214224^2 + 4127975^2 .

It is a cyclic number.

It is not a de Polignac number, because 34799861522801 - 2¹⁸ = 34799861260657 is a prime.

It is a super-2 number, since 2×34799861522801² (a number of 28 digits) contains 22 as substring.

It is not a weakly prime, because it can be changed into another prime (34799861522807) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 17399930761400 + 17399930761401.

It is an arithmetic number, because the mean of its divisors is an integer number (17399930761401).

It is a 1-persistent number, because it is pandigital, but 2⋅34799861522801 = 69599723045602 is not.

Almost surely, 2^{34799861522801} is an apocalyptic number.

It is an amenable number.

34799861522801 is a deficient number, since it is larger than the sum of its proper divisors (1).

34799861522801 is an equidigital number, since it uses as much as digits as its factorization.

34799861522801 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 52254720, while the sum is 65.

The spelling of 34799861522801 in words is "thirty-four trillion, seven hundred ninety-nine billion, eight hundred sixty-one million, five hundred twenty-two thousand, eight hundred one".