34550973198 has 192 divisors, whose sum is σ = 94260672000. Its totient is φ = 9334942848.

The previous prime is 34550973169. The next prime is 34550973229. The reversal of 34550973198 is 89137905543.

34550973198 is a `hidden beast` number, since 3 + 4 + 550 + 9 + 73 + 19 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

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 95 ways as a sum of consecutive naturals, for example, 5413173 + ... + 5419551.

It is an arithmetic number, because the mean of its divisors is an integer number (490941000).

Almost surely, 2^34550973198 is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 34550973198, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (47130336000).

34550973198 is an abundant number, since it is smaller than the sum of its proper divisors (59709698802).

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

34550973198 is a wasteful number, since it uses less digits than its factorization.

34550973198 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6516 (or 6503 counting only the distinct ones).

The product of its (nonzero) digits is 4082400, while the sum is 54.

The spelling of 34550973198 in words is "thirty-four billion, five hundred fifty million, nine hundred seventy-three thousand, one hundred ninety-eight".