73236146227344 has 405 divisors, whose sum is σ = 216878851047339. Its totient is φ = 23956396600320.

The previous prime is 73236146227339. The next prime is 73236146227351. The reversal of 73236146227344 is 44372264163237.

The square root of 73236146227344 is 8557812.

It is a perfect power (a square), and thus also a powerful number.

73236146227344 is a `hidden beast` number, since 7 + 3 + 2 + 3 + 6 + 1 + 4 + 622 + 7 + 3 + 4 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 54978369267600 + 18257776959744 = 7414740^2 + 4272912^2 .

It is a super-2 number, since 2×73236146227344² (a number of 29 digits) contains 22 as substring.

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

It is an unprimeable number.

It is a polite number, since it can be written in 80 ways as a sum of consecutive naturals, for example, 169136596152 + ... + 169136596584.

Almost surely, 2^{73236146227344} is an apocalyptic number.

73236146227344 is the 8557812-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 73236146227344

73236146227344 is an abundant number, since it is smaller than the sum of its proper divisors (143642704819995).

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

73236146227344 is an frugal number, since it uses more digits than its factorization.

73236146227344 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1020 (or 499 counting only the distinct ones).

The product of its digits is 24385536, while the sum is 54.

The spelling of 73236146227344 in words is "seventy-three trillion, two hundred thirty-six billion, one hundred forty-six million, two hundred twenty-seven thousand, three hundred forty-four".