34194332198464 has 567 divisors, whose sum is σ = 79698709295811. Its totient is φ = 14550680125440.

The previous prime is 34194332198461. The next prime is 34194332198491. The reversal of 34194332198464 is 46489123349143.

The square root of 34194332198464 is 5847592.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in 4 ways, for example, as 4318050752064 + 29876281446400 = 2077992^2 + 5465920^2 .

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (34194332198461) by changing a digit.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 468415509532 + ... + 468415509604.

Almost surely, 2^{34194332198464} is an apocalyptic number.

34194332198464 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

34194332198464 is the 5847592-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34194332198464

34194332198464 is an abundant number, since it is smaller than the sum of its proper divisors (45504377097347).

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

34194332198464 is an equidigital number, since it uses as much as digits as its factorization.

34194332198464 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 292 (or 142 counting only the distinct ones).

The product of its digits is 53747712, while the sum is 61.

The spelling of 34194332198464 in words is "thirty-four trillion, one hundred ninety-four billion, three hundred thirty-two million, one hundred ninety-eight thousand, four hundred sixty-four".