398548822597632 has 4032 divisors, whose sum is σ = 1586176948137600. Its totient is φ = 98242217902080.

The previous prime is 398548822597621. The next prime is 398548822597637. The reversal of 398548822597632 is 236795228845893.

398548822597632 is a `hidden beast` number, since 3 + 9 + 8 + 5 + 488 + 22 + 59 + 7 + 63 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (4032).

Its product of digits (12541132800) is a multiple of the sum of its prime factors (320).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (398548822597637) by changing a digit.

It is a polite number, since it can be written in 287 ways as a sum of consecutive naturals, for example, 2201927196582 + ... + 2201927196762.

It is an arithmetic number, because the mean of its divisors is an integer number (393397060550).

Almost surely, 2^{398548822597632} is an apocalyptic number.

398548822597632 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 398548822597632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (793088474068800).

398548822597632 is an abundant number, since it is smaller than the sum of its proper divisors (1187628125539968).

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

398548822597632 is a wasteful number, since it uses less digits than its factorization.

398548822597632 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 320 (or 266 counting only the distinct ones).

The product of its digits is 12541132800, while the sum is 81.

The spelling of 398548822597632 in words is "three hundred ninety-eight trillion, five hundred forty-eight billion, eight hundred twenty-two million, five hundred ninety-seven thousand, six hundred thirty-two".