193292541056 has 64 divisors (see below), whose sum is σ = 390126132000. Its totient is φ = 95382583296.

The previous prime is 193292541049. The next prime is 193292541067. The reversal of 193292541056 is 650145292391.

It is a tau number, because it is divible by the number of its divisors (64).

It is a self number, because there is not a number n which added to its sum of digits gives 193292541056.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6215915 + ... + 6246933.

Almost surely, 2^193292541056 is an apocalyptic number.

193292541056 is a gapful number since it is divisible by the number (16) 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 193292541056, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (195063066000).

193292541056 is an abundant number, since it is smaller than the sum of its proper divisors (196833590944).

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

193292541056 is an equidigital number, since it uses as much as digits as its factorization.

193292541056 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31669 (or 31657 counting only the distinct ones).

The product of its (nonzero) digits is 583200, while the sum is 47.

The spelling of 193292541056 in words is "one hundred ninety-three billion, two hundred ninety-two million, five hundred forty-one thousand, fifty-six".