34511415214064 has 160 divisors (see below), whose sum is σ = 68465921025600. Its totient is φ = 16849576820736.

The previous prime is 34511415214063. The next prime is 34511415214109. The reversal of 34511415214064 is 46041251411543.

It is a happy number.

It is a super-3 number, since 3×34511415214064³ (a number of 42 digits) contains 333 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34511415214063) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 26898997967 + ... + 26898999249.

It is an arithmetic number, because the mean of its divisors is an integer number (427912006410).

Almost surely, 2^{34511415214064} is an apocalyptic number.

It is an amenable number.

34511415214064 is a deficient number, since it is larger than the sum of its proper divisors (33954505811536).

34511415214064 is a wasteful number, since it uses less digits than its factorization.

34511415214064 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2227 (or 2221 counting only the distinct ones).

The product of its (nonzero) digits is 230400, while the sum is 41.

The spelling of 34511415214064 in words is "thirty-four trillion, five hundred eleven billion, four hundred fifteen million, two hundred fourteen thousand, sixty-four".