322725898656 has 288 divisors, whose sum is σ = 1095581410560. Its totient is φ = 88161841152.

The previous prime is 322725898643. The next prime is 322725898667. The reversal of 322725898656 is 656898527223.

322725898656 is a `hidden beast` number, since 322 + 7 + 258 + 9 + 8 + 6 + 56 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a Smith number, since the sum of its digits (63) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is a junction number, because it is equal to n+sod(n) for n = 322725898593 and 322725898602.

It is an unprimeable number.

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 47 ways as a sum of consecutive naturals, for example, 5994996 + ... + 6048588.

It is an arithmetic number, because the mean of its divisors is an integer number (3804102120).

Almost surely, 2^322725898656 is an apocalyptic number.

322725898656 is a gapful number since it is divisible by the number (36) 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 322725898656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (547790705280).

322725898656 is an abundant number, since it is smaller than the sum of its proper divisors (772855511904).

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

322725898656 is a wasteful number, since it uses less digits than its factorization.

322725898656 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 53748 (or 53737 counting only the distinct ones).

The product of its digits is 87091200, while the sum is 63.

The spelling of 322725898656 in words is "three hundred twenty-two billion, seven hundred twenty-five million, eight hundred ninety-eight thousand, six hundred fifty-six".