34115904608901 has 16 divisors (see below), whose sum is σ = 48174048305664. Its totient is φ = 21430367071344.

The previous prime is 34115904608899. The next prime is 34115904608917. The reversal of 34115904608901 is 10980640951143.

It is a happy number.

It is not a de Polignac number, because 34115904608901 - 2¹ = 34115904608899 is a prime.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34115904608701) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 3689796871 + ... + 3689806116.

It is an arithmetic number, because the mean of its divisors is an integer number (3010878019104).

Almost surely, 2^{34115904608901} is an apocalyptic number.

It is an amenable number.

34115904608901 is a deficient number, since it is larger than the sum of its proper divisors (14058143696763).

34115904608901 is a wasteful number, since it uses less digits than its factorization.

34115904608901 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7379603080.

The product of its (nonzero) digits is 933120, while the sum is 51.

The spelling of 34115904608901 in words is "thirty-four trillion, one hundred fifteen billion, nine hundred four million, six hundred eight thousand, nine hundred one".