398933655552 has 256 divisors, whose sum is σ = 1188165278400. Its totient is φ = 132285726720.

The previous prime is 398933655511. The next prime is 398933655563. The reversal of 398933655552 is 255556339893.

398933655552 is a `hidden beast` number, since 3 + 98 + 93 + 365 + 55 + 52 = 666.

It is a tau number, because it is divible by the number of its divisors (256).

It is a self number, because there is not a number n which added to its sum of digits gives 398933655552.

It is an unprimeable number.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 186678228 + ... + 186680364.

Almost surely, 2^398933655552 is an apocalyptic number.

398933655552 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 398933655552, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (594082639200).

398933655552 is an abundant number, since it is smaller than the sum of its proper divisors (789231622848).

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

398933655552 is an equidigital number, since it uses as much as digits as its factorization.

398933655552 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2387 (or 2353 counting only the distinct ones).

The product of its digits is 131220000, while the sum is 63.

The spelling of 398933655552 in words is "three hundred ninety-eight billion, nine hundred thirty-three million, six hundred fifty-five thousand, five hundred fifty-two".