576213311273472 has 960 divisors, whose sum is σ = 1845177353091072. Its totient is φ = 172491669504000.

The previous prime is 576213311273471. The next prime is 576213311273473. The reversal of 576213311273472 is 274372113312675.

576213311273472 is a `hidden beast` number, since 5 + 7 + 6 + 2 + 13 + 31 + 127 + 3 + 472 = 666.

It is an interprime number because it is at equal distance from previous prime (576213311273471) and next prime (576213311273473).

It is not an unprimeable number, because it can be changed into a prime (576213311273471) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 24381713368 + ... + 24381737000.

Almost surely, 2^{576213311273472} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 576213311273472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (922588676545536).

576213311273472 is an abundant number, since it is smaller than the sum of its proper divisors (1268964041817600).

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

576213311273472 is a wasteful number, since it uses less digits than its factorization.

576213311273472 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 23933 (or 23914 counting only the distinct ones).

The product of its digits is 8890560, while the sum is 54.

The spelling of 576213311273472 in words is "five hundred seventy-six trillion, two hundred thirteen billion, three hundred eleven million, two hundred seventy-three thousand, four hundred seventy-two".