193445430048 has 288 divisors, whose sum is σ = 633762236016. Its totient is φ = 55441096704.

The previous prime is 193445430043. The next prime is 193445430049. The reversal of 193445430048 is 840034544391.

193445430048 is a `hidden beast` number, since 193 + 4 + 454 + 3 + 0 + 0 + 4 + 8 = 666.

It can be written as a sum of positive squares in 8 ways, for example, as 152652741264 + 40792688784 = 390708^2 + 201972^2 .

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-2 number, since 2×193445430048² (a number of 23 digits) contains 22 as substring.

It is a junction number, because it is equal to n+sod(n) for n = 193445429985 and 193445430012.

It is not an unprimeable number, because it can be changed into a prime (193445430043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 6158190 + ... + 6189522.

Almost surely, 2^193445430048 is an apocalyptic number.

193445430048 is a gapful number since it is divisible by the number (18) 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 193445430048, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (316881118008).

193445430048 is an abundant number, since it is smaller than the sum of its proper divisors (440316805968).

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

193445430048 is a wasteful number, since it uses less digits than its factorization.

193445430048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 31476 (or 31465 counting only the distinct ones).

The product of its (nonzero) digits is 829440, while the sum is 45.

The spelling of 193445430048 in words is "one hundred ninety-three billion, four hundred forty-five million, four hundred thirty thousand, forty-eight".