398935137648 has 160 divisors (see below), whose sum is σ = 1130913331200. Its totient is φ = 120707712000.

The previous prime is 398935137613. The next prime is 398935137697. The reversal of 398935137648 is 846731539893.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2785618 + ... + 2925326.

It is an arithmetic number, because the mean of its divisors is an integer number (7068208320).

Almost surely, 2^398935137648 is an apocalyptic number.

398935137648 is a gapful number since it is divisible by the number (38) 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 398935137648, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (565456665600).

398935137648 is an abundant number, since it is smaller than the sum of its proper divisors (731978193552).

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

398935137648 is a wasteful number, since it uses less digits than its factorization.

398935137648 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 139871 (or 139865 counting only the distinct ones).

The product of its digits is 117573120, while the sum is 66.

The spelling of 398935137648 in words is "three hundred ninety-eight billion, nine hundred thirty-five million, one hundred thirty-seven thousand, six hundred forty-eight".