398172601322496 has 4224 divisors, whose sum is σ = 1693472878755840. Its totient is φ = 86684309913600.

The previous prime is 398172601322449. The next prime is 398172601322539. The reversal of 398172601322496 is 694223106271893.

398172601322496 is a `hidden beast` number, since 3 + 9 + 8 + 1 + 7 + 2 + 6 + 0 + 132 + 2 + 496 = 666.

It is a tau number, because it is divible by the number of its divisors (4224).

It is a Harshad number since it is a multiple of its sum of digits (63).

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 383 ways as a sum of consecutive naturals, for example, 690073832160 + ... + 690073832736.

Almost surely, 2^{398172601322496} is an apocalyptic number.

398172601322496 is a gapful number since it is divisible by the number (36) 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 398172601322496, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846736439377920).

398172601322496 is an abundant number, since it is smaller than the sum of its proper divisors (1295300277433344).

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

398172601322496 is a wasteful number, since it uses less digits than its factorization.

398172601322496 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 811 (or 790 counting only the distinct ones).

The product of its (nonzero) digits is 47029248, while the sum is 63.

The spelling of 398172601322496 in words is "three hundred ninety-eight trillion, one hundred seventy-two billion, six hundred one million, three hundred twenty-two thousand, four hundred ninety-six".