193442148480 has 256 divisors, whose sum is σ = 708268872960. Its totient is φ = 43990302720.

The previous prime is 193442148479. The next prime is 193442148499. The reversal of 193442148480 is 84841244391.

It is a Harshad number since it is a multiple of its sum of digits (48).

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 31 ways as a sum of consecutive naturals, for example, 2611150 + ... + 2684210.

It is an arithmetic number, because the mean of its divisors is an integer number (2766675285).

Almost surely, 2^193442148480 is an apocalyptic number.

193442148480 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 193442148480, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (354134436480).

193442148480 is an abundant number, since it is smaller than the sum of its proper divisors (514826724480).

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

193442148480 is a wasteful number, since it uses less digits than its factorization.

193442148480 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 73287 (or 73275 counting only the distinct ones).

The product of its (nonzero) digits is 884736, while the sum is 48.

The spelling of 193442148480 in words is "one hundred ninety-three billion, four hundred forty-two million, one hundred forty-eight thousand, four hundred eighty".