34451663616 has 216 divisors, whose sum is σ = 106368247440. Its totient is φ = 10685841408.

The previous prime is 34451663549. The next prime is 34451663621. The reversal of 34451663616 is 61636615443.

34451663616 is a `hidden beast` number, since 3 + 4 + 4 + 5 + 1 + 6 + 636 + 1 + 6 = 666.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 3481011 + ... + 3490893.

It is an arithmetic number, because the mean of its divisors is an integer number (492445590).

Almost surely, 2^34451663616 is an apocalyptic number.

34451663616 is a gapful number since it is divisible by the number (36) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34451663616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53184123720).

34451663616 is an abundant number, since it is smaller than the sum of its proper divisors (71916583824).

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

34451663616 is a wasteful number, since it uses less digits than its factorization.

34451663616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 10011 (or 9994 counting only the distinct ones).

The product of its digits is 933120, while the sum is 45.

The spelling of 34451663616 in words is "thirty-four billion, four hundred fifty-one million, six hundred sixty-three thousand, six hundred sixteen".