193481738240 has 384 divisors, whose sum is σ = 568838350080. Its totient is φ = 61649977344.

The previous prime is 193481738231. The next prime is 193481738249. The reversal of 193481738240 is 42837184391.

It is an interprime number because it is at equal distance from previous prime (193481738231) and next prime (193481738249).

It is not an unprimeable number, because it can be changed into a prime (193481738249) by changing a digit.

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 31 ways as a sum of consecutive naturals, for example, 101139524 + ... + 101141436.

It is an arithmetic number, because the mean of its divisors is an integer number (1481349870).

Almost surely, 2^193481738240 is an apocalyptic number.

193481738240 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 193481738240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (284419175040).

193481738240 is an abundant number, since it is smaller than the sum of its proper divisors (375356611840).

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

193481738240 is a wasteful number, since it uses less digits than its factorization.

193481738240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2047 (or 2027 counting only the distinct ones).

The product of its (nonzero) digits is 1161216, while the sum is 50.

The spelling of 193481738240 in words is "one hundred ninety-three billion, four hundred eighty-one million, seven hundred thirty-eight thousand, two hundred forty".