398386501632 has 1296 divisors, whose sum is σ = 1518629734440. Its totient is φ = 103673364480.

The previous prime is 398386501613. The next prime is 398386501661. The reversal of 398386501632 is 236105683893.

It is a happy number.

398386501632 is a `hidden beast` number, since 398 + 38 + 65 + 0 + 163 + 2 = 666.

It is a tau number, because it is divible by the number of its divisors (1296).

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 107 ways as a sum of consecutive naturals, for example, 12851177457 + ... + 12851177487.

Almost surely, 2^398386501632 is an apocalyptic number.

398386501632 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 398386501632, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (759314867220).

398386501632 is an abundant number, since it is smaller than the sum of its proper divisors (1120243232808).

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

398386501632 is an equidigital number, since it uses as much as digits as its factorization.

398386501632 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 130 (or 60 counting only the distinct ones).

The product of its (nonzero) digits is 5598720, while the sum is 54.

The spelling of 398386501632 in words is "three hundred ninety-eight billion, three hundred eighty-six million, five hundred one thousand, six hundred thirty-two".