34264899081601 has 16 divisors (see below), whose sum is σ = 34940430267840. Its totient is φ = 33594298246080.

The previous prime is 34264899081583. The next prime is 34264899081619. The reversal of 34264899081601 is 10618099846243.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (34264899081583) and next prime (34264899081619).

It is a cyclic number.

It is not a de Polignac number, because 34264899081601 - 2³⁹ = 33715143267713 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 34264899081601.

It is not an unprimeable number, because it can be changed into a prime (34264899081401) 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 in 15 ways as a sum of consecutive naturals, for example, 43506030 + ... + 44286616.

It is an arithmetic number, because the mean of its divisors is an integer number (2183776891740).

Almost surely, 2^{34264899081601} is an apocalyptic number.

It is an amenable number.

34264899081601 is a deficient number, since it is larger than the sum of its proper divisors (675531186239).

34264899081601 is a wasteful number, since it uses less digits than its factorization.

34264899081601 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 783744.

The product of its (nonzero) digits is 17915904, while the sum is 61.

The spelling of 34264899081601 in words is "thirty-four trillion, two hundred sixty-four billion, eight hundred ninety-nine million, eighty-one thousand, six hundred one".