194113221120 has 1440 divisors, whose sum is σ = 865952575488. Its totient is φ = 40633270272.

The previous prime is 194113221109. The next prime is 194113221131. The reversal of 194113221120 is 21122311491.

194113221120 is a `hidden beast` number, since 1 + 9 + 411 + 3 + 221 + 1 + 20 = 666.

It is an interprime number because it is at equal distance from previous prime (194113221109) and next prime (194113221131).

It is a tau number, because it is divible by the number of its divisors (1440).

It is a super-2 number, since 2×194113221120² (a number of 23 digits) contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

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 143 ways as a sum of consecutive naturals, for example, 1528450497 + ... + 1528450623.

Almost surely, 2^194113221120 is an apocalyptic number.

194113221120 is a gapful number since it is divisible by the number (10) 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 194113221120, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (432976287744).

194113221120 is an abundant number, since it is smaller than the sum of its proper divisors (671839354368).

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

194113221120 is an frugal number, since it uses more digits than its factorization.

194113221120 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 194 (or 157 counting only the distinct ones).

The product of its (nonzero) digits is 864, while the sum is 27.

The spelling of 194113221120 in words is "one hundred ninety-four billion, one hundred thirteen million, two hundred twenty-one thousand, one hundred twenty".