398291203558656 has 360 divisors, whose sum is σ = 1201198557465984. Its totient is φ = 131250200739840.

The previous prime is 398291203558463. The next prime is 398291203558681. The reversal of 398291203558656 is 656855302192893.

It is a happy number.

398291203558656 is a `hidden beast` number, since 3 + 9 + 8 + 2 + 9 + 1 + 2 + 0 + 3 + 558 + 65 + 6 = 666.

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 1832269431 + ... + 1832486793.

Almost surely, 2^{398291203558656} is an apocalyptic number.

398291203558656 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 398291203558656, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (600599278732992).

398291203558656 is an abundant number, since it is smaller than the sum of its proper divisors (802907353907328).

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

398291203558656 is an equidigital number, since it uses as much as digits as its factorization.

398291203558656 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 218399 (or 218376 counting only the distinct ones).

The product of its (nonzero) digits is 839808000, while the sum is 72.

The spelling of 398291203558656 in words is "three hundred ninety-eight trillion, two hundred ninety-one billion, two hundred three million, five hundred fifty-eight thousand, six hundred fifty-six".