73553342112 has 240 divisors, whose sum is σ = 219753160704. Its totient is φ = 24131520000.

The previous prime is 73553342063. The next prime is 73553342123. The reversal of 73553342112 is 21124335537.

73553342112 is a `hidden beast` number, since 7 + 3 + 5 + 533 + 4 + 2 + 112 = 666.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 50001537 + ... + 50003007.

Almost surely, 2^73553342112 is an apocalyptic number.

73553342112 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 73553342112, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109876580352).

73553342112 is an abundant number, since it is smaller than the sum of its proper divisors (146199818592).

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

73553342112 is a wasteful number, since it uses less digits than its factorization.

73553342112 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1785 (or 1768 counting only the distinct ones).

The product of its digits is 75600, while the sum is 36.

Adding to 73553342112 its reverse (21124335537), we get a palindrome (94677677649).

The spelling of 73553342112 in words is "seventy-three billion, five hundred fifty-three million, three hundred forty-two thousand, one hundred twelve".