398763065472 has 192 divisors, whose sum is σ = 1087000274880. Its totient is φ = 129475840000.

The previous prime is 398763065471. The next prime is 398763065537. The reversal of 398763065472 is 274560367893.

It is a tau number, because it is divible by the number of its divisors (192).

It is not an unprimeable number, because it can be changed into a prime (398763065471) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 1282196197 + ... + 1282196507.

It is an arithmetic number, because the mean of its divisors is an integer number (5661459765).

Almost surely, 2^398763065472 is an apocalyptic number.

398763065472 is a gapful number since it is divisible by the number (32) 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 398763065472, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543500137440).

398763065472 is an abundant number, since it is smaller than the sum of its proper divisors (688237209408).

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

398763065472 is an equidigital number, since it uses as much as digits as its factorization.

398763065472 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 883 (or 620 counting only the distinct ones).

The product of its (nonzero) digits is 45722880, while the sum is 60.

The spelling of 398763065472 in words is "three hundred ninety-eight billion, seven hundred sixty-three million, sixty-five thousand, four hundred seventy-two".