34946845005816 has 640 divisors, whose sum is σ = 107639593839360. Its totient is φ = 10549813248000.

The previous prime is 34946845005769. The next prime is 34946845005817. The reversal of 34946845005816 is 61850054864943.

34946845005816 is a `hidden beast` number, since 3 + 4 + 9 + 4 + 6 + 8 + 45 + 0 + 0 + 581 + 6 = 666.

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34946845005817) by changing a digit.

It is a polite number, since it can be written in 159 ways as a sum of consecutive naturals, for example, 14281504705 + ... + 14281507151.

It is an arithmetic number, because the mean of its divisors is an integer number (168186865374).

Almost surely, 2^{34946845005816} is an apocalyptic number.

34946845005816 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 34946845005816, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (53819796919680).

34946845005816 is an abundant number, since it is smaller than the sum of its proper divisors (72692748833544).

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

34946845005816 is a wasteful number, since it uses less digits than its factorization.

34946845005816 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2997 (or 2984 counting only the distinct ones).

The product of its (nonzero) digits is 99532800, while the sum is 63.

The spelling of 34946845005816 in words is "thirty-four trillion, nine hundred forty-six billion, eight hundred forty-five million, five thousand, eight hundred sixteen".