193149702144 has 585 divisors, whose sum is σ = 677411484057. Its totient is φ = 54679339008.

The previous prime is 193149702133. The next prime is 193149702199. The reversal of 193149702144 is 441207941391.

The square root of 193149702144 is 439488.

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

193149702144 is a `hidden beast` number, since 19 + 3 + 1 + 497 + 0 + 2 + 144 = 666.

It can be written as a sum of positive squares in only one way, i.e., 134624415744 + 58525286400 = 366912^2 + 241920^2 .

It is a self number, because there is not a number n which added to its sum of digits gives 193149702144.

It is an unprimeable number.

It is a polite number, since it can be written in 44 ways as a sum of consecutive naturals, for example, 1772015562 + ... + 1772015670.

Almost surely, 2^193149702144 is an apocalyptic number.

193149702144 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

193149702144 is the 439488-th square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193149702144

193149702144 is an abundant number, since it is smaller than the sum of its proper divisors (484261781913).

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

193149702144 is an frugal number, since it uses more digits than its factorization.

193149702144 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 268 (or 121 counting only the distinct ones).

The product of its (nonzero) digits is 217728, while the sum is 45.

The spelling of 193149702144 in words is "one hundred ninety-three billion, one hundred forty-nine million, seven hundred two thousand, one hundred forty-four".