398169146496 has 384 divisors, whose sum is σ = 1218154567680. Its totient is φ = 114226022400.

The previous prime is 398169146491. The next prime is 398169146497. The reversal of 398169146496 is 694641961893.

It is a tau number, because it is divible by the number of its divisors (384).

It is a Harshad number since it is a multiple of its sum of digits (66).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398169146491) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 190784365 + ... + 190786451.

It is an arithmetic number, because the mean of its divisors is an integer number (3172277520).

Almost surely, 2^398169146496 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 398169146496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (609077283840).

398169146496 is an abundant number, since it is smaller than the sum of its proper divisors (819985421184).

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

398169146496 is a wasteful number, since it uses less digits than its factorization.

398169146496 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2224 (or 2181 counting only the distinct ones).

The product of its digits is 60466176, while the sum is 66.

The spelling of 398169146496 in words is "three hundred ninety-eight billion, one hundred sixty-nine million, one hundred forty-six thousand, four hundred ninety-six".