34463393491968 has 1056 divisors, whose sum is σ = 125455744711680. Its totient is φ = 9266248876032.

The previous prime is 34463393491909. The next prime is 34463393491997. The reversal of 34463393491968 is 86919439336443.

It is a happy number.

34463393491968 is a `hidden beast` number, since 3 + 4 + 4 + 6 + 3 + 393 + 49 + 196 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a nude number because it is divisible by every one of its digits.

It is a junction number, because it is equal to n+sod(n) for n = 34463393491896 and 34463393491905.

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 4530480421 + ... + 4530488027.

Almost surely, 2^{34463393491968} 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 34463393491968, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (62727872355840).

34463393491968 is an abundant number, since it is smaller than the sum of its proper divisors (90992351219712).

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

34463393491968 is an frugal number, since it uses more digits than its factorization.

34463393491968 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 7689 (or 7636 counting only the distinct ones).

The product of its digits is 1088391168, while the sum is 72.

The spelling of 34463393491968 in words is "thirty-four trillion, four hundred sixty-three billion, three hundred ninety-three million, four hundred ninety-one thousand, nine hundred sixty-eight".