398167185312 has 1296 divisors, whose sum is σ = 1447221904128. Its totient is φ = 103255326720.

The previous prime is 398167185307. The next prime is 398167185341. The reversal of 398167185312 is 213581761893.

398167185312 is a `hidden beast` number, since 3 + 98 + 1 + 6 + 7 + 18 + 531 + 2 = 666.

Its product of digits (2177280) is a multiple of the sum of its prime divisors (128).

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 215 ways as a sum of consecutive naturals, for example, 9259701963 + ... + 9259702005.

It is an arithmetic number, because the mean of its divisors is an integer number (1116683568).

Almost surely, 2^398167185312 is an apocalyptic number.

398167185312 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 398167185312, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (723610952064).

398167185312 is an abundant number, since it is smaller than the sum of its proper divisors (1049054718816).

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

398167185312 is a wasteful number, since it uses less digits than its factorization.

398167185312 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 171 (or 128 counting only the distinct ones).

The product of its digits is 2177280, while the sum is 54.

The spelling of 398167185312 in words is "three hundred ninety-eight billion, one hundred sixty-seven million, one hundred eighty-five thousand, three hundred twelve".