34514414454520 has 256 divisors, whose sum is σ = 104334822144000. Its totient is φ = 9923792578560.

The previous prime is 34514414454493. The next prime is 34514414454557. The reversal of 34514414454520 is 2545441441543.

It is a congruent number.

It is an unprimeable number.

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 63 ways as a sum of consecutive naturals, for example, 61743717 + ... + 62300203.

It is an arithmetic number, because the mean of its divisors is an integer number (407557899000).

Almost surely, 2^{34514414454520} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34514414454520, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (52167411072000).

34514414454520 is an abundant number, since it is smaller than the sum of its proper divisors (69820407689480).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

34514414454520 is a wasteful number, since it uses less digits than its factorization.

34514414454520 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 558078 (or 558074 counting only the distinct ones).

The product of its (nonzero) digits is 3072000, while the sum is 46.

The spelling of 34514414454520 in words is "thirty-four trillion, five hundred fourteen billion, four hundred fourteen million, four hundred fifty-four thousand, five hundred twenty".