193285088164 has 81 divisors (see below), whose sum is σ = 406977094881. Its totient is φ = 80085186720.

The previous prime is 193285088149. The next prime is 193285088197. The reversal of 193285088164 is 461880582391.

It is a happy number.

The square root of 193285088164 is 439642.

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., 381420900 + 192903667264 = 19530^2 + 439208^2 .

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 190804122 + ... + 190805134.

Almost surely, 2^193285088164 is an apocalyptic number.

193285088164 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

193285088164 is the 439642-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 193285088164

193285088164 is an abundant number, since it is smaller than the sum of its proper divisors (213692006717).

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

193285088164 is an equidigital number, since it uses as much as digits as its factorization.

193285088164 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2106 (or 1053 counting only the distinct ones).

The product of its (nonzero) digits is 3317760, while the sum is 55.

The spelling of 193285088164 in words is "one hundred ninety-three billion, two hundred eighty-five million, eighty-eight thousand, one hundred sixty-four".