326398855846144 has 243 divisors, whose sum is σ = 698930901103617. Its totient is φ = 152098640289792.

The previous prime is 326398855846121. The next prime is 326398855846153. The reversal of 326398855846144 is 441648558893623.

The square root of 326398855846144 is 18066512.

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

It can be written as a sum of positive squares in only one way, i.e., 254116756281600 + 72282099564544 = 15941040^2 + 8501888^2 .

It is a Duffinian number.

Its product of digits (4777574400) is a multiple of the sum of its prime factors (1350).

It is an unprimeable number.

It is a polite number, since it can be written in 26 ways as a sum of consecutive naturals, for example, 624089590267 + ... + 624089590789.

Almost surely, 2^{326398855846144} is an apocalyptic number.

326398855846144 is a gapful number since it is divisible by the number (34) formed by its first and last digit.

326398855846144 is the 18066512-nd square number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 326398855846144

326398855846144 is an abundant number, since it is smaller than the sum of its proper divisors (372532045257473).

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

326398855846144 is an frugal number, since it uses more digits than its factorization.

326398855846144 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1350 (or 669 counting only the distinct ones).

The product of its digits is 4777574400, while the sum is 76.

The spelling of 326398855846144 in words is "three hundred twenty-six trillion, three hundred ninety-eight billion, eight hundred fifty-five million, eight hundred forty-six thousand, one hundred forty-four".