193457082240 has 384 divisors, whose sum is σ = 715138744320. Its totient is φ = 49923164160.

The previous prime is 193457082233. The next prime is 193457082257. The reversal of 193457082240 is 42280754391.

193457082240 is a `hidden beast` number, since 1 + 9 + 34 + 570 + 8 + 2 + 2 + 40 = 666.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 4801057 + ... + 4841183.

It is an arithmetic number, because the mean of its divisors is an integer number (1862340480).

Almost surely, 2^193457082240 is an apocalyptic number.

193457082240 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 193457082240, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (357569372160).

193457082240 is an abundant number, since it is smaller than the sum of its proper divisors (521681662080).

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

193457082240 is an equidigital number, since it uses as much as digits as its factorization.

193457082240 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 40192 (or 40168 counting only the distinct ones).

The product of its (nonzero) digits is 483840, while the sum is 45.

The spelling of 193457082240 in words is "one hundred ninety-three billion, four hundred fifty-seven million, eighty-two thousand, two hundred forty".