34950566016 has 256 divisors, whose sum is σ = 109507852800. Its totient is φ = 10936074240.

The previous prime is 34950565997. The next prime is 34950566051. The reversal of 34950566016 is 61066505943.

34950566016 is a `hidden beast` number, since 34 + 9 + 5 + 0 + 5 + 6 + 601 + 6 = 666.

It is a super-2 number, since 2×34950566016² (a number of 22 digits) contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 38364601 + ... + 38365511.

It is an arithmetic number, because the mean of its divisors is an integer number (427765050).

Almost surely, 2^34950566016 is an apocalyptic number.

34950566016 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 34950566016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (54753926400).

34950566016 is an abundant number, since it is smaller than the sum of its proper divisors (74557286784).

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

34950566016 is a wasteful number, since it uses less digits than its factorization.

34950566016 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1604 (or 1586 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 45.

The spelling of 34950566016 in words is "thirty-four billion, nine hundred fifty million, five hundred sixty-six thousand, sixteen".