194611149096100 has 243 divisors, whose sum is σ = 479761897816929. Its totient is φ = 68468121480000.

The previous prime is 194611149096047. The next prime is 194611149096137. The reversal of 194611149096100 is 1690941116491.

The square root of 194611149096100 is 13950310.

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

It can be written as a sum of positive squares in only one way, i.e., 70060013674596 + 124551135421504 = 8370186^2 + 11160248^2 .

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 47570555055 + ... + 47570559145.

Almost surely, 2^{194611149096100} is an apocalyptic number.

194611149096100 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

194611149096100 is the 13950310-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 194611149096100

194611149096100 is an abundant number, since it is smaller than the sum of its proper divisors (285150748720829).

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

194611149096100 is an equidigital number, since it uses as much as digits as its factorization.

194611149096100 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8280 (or 4140 counting only the distinct ones).

The product of its (nonzero) digits is 419904, while the sum is 52.

The spelling of 194611149096100 in words is "one hundred ninety-four trillion, six hundred eleven billion, one hundred forty-nine million, ninety-six thousand, one hundred".