34167065401 has 12 divisors (see below), whose sum is σ = 41115893220. Its totient is φ = 28276190880.

The previous prime is 34167065399. The next prime is 34167065441. The reversal of 34167065401 is 10456076143.

It can be written as a sum of positive squares in 2 ways, for example, as 27650701225 + 6516364176 = 166285^2 + 80724^2 .

It is not a de Polignac number, because 34167065401 - 2¹ = 34167065399 is a prime.

It is a super-2 number, since 2×34167065401² (a number of 22 digits) contains 22 as substring.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34167065441) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 12020770 + ... + 12023611.

It is an arithmetic number, because the mean of its divisors is an integer number (3426324435).

Almost surely, 2^34167065401 is an apocalyptic number.

It is an amenable number.

34167065401 is a deficient number, since it is larger than the sum of its proper divisors (6948827819).

34167065401 is a wasteful number, since it uses less digits than its factorization.

34167065401 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 24044424 (or 24044417 counting only the distinct ones).

The product of its (nonzero) digits is 60480, while the sum is 37.

The spelling of 34167065401 in words is "thirty-four billion, one hundred sixty-seven million, sixty-five thousand, four hundred one".