398614447296 has 560 divisors, whose sum is σ = 1295753799648. Its totient is φ = 120932352000.

The previous prime is 398614447249. The next prime is 398614447337. The reversal of 398614447296 is 692744416893.

It is a happy number.

398614447296 is a `hidden beast` number, since 3 + 9 + 8 + 614 + 4 + 4 + 7 + 2 + 9 + 6 = 666.

It is an unprimeable number.

It is a polite number, since it can be written in 79 ways as a sum of consecutive naturals, for example, 1654001736 + ... + 1654001976.

Almost surely, 2^398614447296 is an apocalyptic number.

398614447296 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 398614447296, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (647876899824).

398614447296 is an abundant number, since it is smaller than the sum of its proper divisors (897139352352).

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

398614447296 is an equidigital number, since it uses as much as digits as its factorization.

398614447296 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 394 (or 360 counting only the distinct ones).

The product of its digits is 62705664, while the sum is 63.

The spelling of 398614447296 in words is "three hundred ninety-eight billion, six hundred fourteen million, four hundred forty-seven thousand, two hundred ninety-six".