73193383227312 has 280 divisors, whose sum is σ = 216987243226704. Its totient is φ = 23898285245952.

The previous prime is 73193383227233. The next prime is 73193383227313. The reversal of 73193383227312 is 21372238339137.

It is a happy number.

73193383227312 is a `hidden beast` number, since 7 + 3 + 1 + 9 + 3 + 383 + 227 + 31 + 2 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is not an unprimeable number, because it can be changed into a prime (73193383227313) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (23) of ones.

It is a polite number, since it can be written in 55 ways as a sum of consecutive naturals, for example, 378855123 + ... + 379048269.

Almost surely, 2^{73193383227312} is an apocalyptic number.

73193383227312 is a gapful number since it is divisible by the number (72) 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 73193383227312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (108493621613352).

73193383227312 is an abundant number, since it is smaller than the sum of its proper divisors (143793859999392).

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

73193383227312 is a wasteful number, since it uses less digits than its factorization.

73193383227312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 193839 (or 193818 counting only the distinct ones).

The product of its digits is 6858432, while the sum is 54.

The spelling of 73193383227312 in words is "seventy-three trillion, one hundred ninety-three billion, three hundred eighty-three million, two hundred twenty-seven thousand, three hundred twelve".