322353110048 has 54 divisors (see below), whose sum is σ = 639519726573. Its totient is φ = 159944851200.

The previous prime is 322353109997. The next prime is 322353110069. The reversal of 322353110048 is 840011353223.

It is a powerful number, because all its prime factors have an exponent greater than 1 and also an Achilles number because it is not a perfect power.

It can be written as a sum of positive squares in 2 ways, for example, as 279193878544 + 43159231504 = 528388^2 + 207748^2 .

It is an ABA number since it can be written as A⋅B^A, here for A=2, B=401468.

It is a Harshad number since it is a multiple of its sum of digits (32).

It is a Duffinian number.

It is a junction number, because it is equal to n+sod(n) for n = 322353109996 and 322353110023.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 536360948 + ... + 536361548.

Almost surely, 2^322353110048 is an apocalyptic number.

It is an amenable number.

322353110048 is a deficient number, since it is larger than the sum of its proper divisors (317166616525).

322353110048 is an frugal number, since it uses more digits than its factorization.

322353110048 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1546 (or 770 counting only the distinct ones).

The product of its (nonzero) digits is 17280, while the sum is 32.

Multiplying 322353110048 by its sum of digits (32), we get a square (10315299521536 = 3211744²).

322353110048 divided by its sum of digits (32) gives a square (10073534689 = 100367²).

The spelling of 322353110048 in words is "three hundred twenty-two billion, three hundred fifty-three million, one hundred ten thousand, forty-eight".