34416553462500 has 144 divisors (see below), whose sum is σ = 109500208413120. Its totient is φ = 8343406800000.

The previous prime is 34416553462411. The next prime is 34416553462649. The reversal of 34416553462500 is 526435561443.

It is a self number, because there is not a number n which added to its sum of digits gives 34416553462500.

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 41304535 + ... + 42129534.

It is an arithmetic number, because the mean of its divisors is an integer number (760418113980).

Almost surely, 2^{34416553462500} is an apocalyptic number.

34416553462500 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

34416553462500 is an abundant number, since it is smaller than the sum of its proper divisors (75083654950620).

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

34416553462500 is a wasteful number, since it uses less digits than its factorization.

34416553462500 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 83434112 (or 83434090 counting only the distinct ones).

The product of its (nonzero) digits is 5184000, while the sum is 48.

The spelling of 34416553462500 in words is "thirty-four trillion, four hundred sixteen billion, five hundred fifty-three million, four hundred sixty-two thousand, five hundred".