812479653347328 has 418 divisors, whose sum is σ = 2437438376814099. Its totient is φ = 270826551115776.

The previous prime is 812479653347293. The next prime is 812479653347333. The reversal of 812479653347328 is 823743356974218.

The cubic root of 812479653347328 is 93312.

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

It is a Jordan-Polya number, since it can be written as 4! ⋅ (3!)¹⁷ ⋅ 2!.

812479653347328 is a `hidden beast` number, since 8 + 1 + 2 + 4 + 79 + 65 + 3 + 3 + 473 + 28 = 666.

It can be written as a sum of positive squares in only one way, i.e., 406239826673664 + 406239826673664 = 20155392^2 + 20155392^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=20155392.

It is a Harshad number since it is a multiple of its sum of digits (72).

Its product of digits (1463132160) is a multiple of the sum of its prime divisors (5).

It is an unprimeable number.

It is a polite number, since it can be written in 18 ways as a sum of consecutive naturals, for example, 270826551115775 + 270826551115776 + 270826551115777.

Almost surely, 2^{812479653347328} 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 812479653347328

812479653347328 is an abundant number, since it is smaller than the sum of its proper divisors (1624958723466771).

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

812479653347328 is an frugal number, since it uses more digits than its factorization.

812479653347328 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 96 (or 5 counting only the distinct ones).

The product of its digits is 1463132160, while the sum is 72.

812479653347328 divided by its sum of digits (72) gives a square (11284439629824 = 3359232²).

The spelling of 812479653347328 in words is "eight hundred twelve trillion, four hundred seventy-nine billion, six hundred fifty-three million, three hundred forty-seven thousand, three hundred twenty-eight".