398308067712 has 480 divisors, whose sum is σ = 1266206014920. Its totient is φ = 124264710144.

The previous prime is 398308067701. The next prime is 398308067791. The reversal of 398308067712 is 217760803893.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 59 ways as a sum of consecutive naturals, for example, 919879848 + ... + 919880280.

Almost surely, 2^398308067712 is an apocalyptic number.

398308067712 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 398308067712, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (633103007460).

398308067712 is an abundant number, since it is smaller than the sum of its proper divisors (867897947208).

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

398308067712 is a wasteful number, since it uses less digits than its factorization.

398308067712 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 800 (or 762 counting only the distinct ones).

The product of its (nonzero) digits is 3048192, while the sum is 54.

The spelling of 398308067712 in words is "three hundred ninety-eight billion, three hundred eight million, sixty-seven thousand, seven hundred twelve".