398252754192384 has 2592 divisors, whose sum is σ = 1583894764408320. Its totient is φ = 95647039488000.

The previous prime is 398252754192287. The next prime is 398252754192407. The reversal of 398252754192384 is 483291457252893.

398252754192384 is a `hidden beast` number, since 3 + 9 + 8 + 2 + 5 + 2 + 7 + 54 + 192 + 384 = 666.

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

It is an unprimeable number.

It is a polite number, since it can be written in 215 ways as a sum of consecutive naturals, for example, 80438849109 + ... + 80438854059.

It is an arithmetic number, because the mean of its divisors is an integer number (611070510960).

Almost surely, 2^{398252754192384} is an apocalyptic number.

398252754192384 is a gapful number since it is divisible by the number (34) 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 398252754192384, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (791947382204160).

398252754192384 is an abundant number, since it is smaller than the sum of its proper divisors (1185642010215936).

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

398252754192384 is a wasteful number, since it uses less digits than its factorization.

398252754192384 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5067 (or 5024 counting only the distinct ones).

The product of its digits is 1045094400, while the sum is 72.

The spelling of 398252754192384 in words is "three hundred ninety-eight trillion, two hundred fifty-two billion, seven hundred fifty-four million, one hundred ninety-two thousand, three hundred eighty-four".