398010263616 has 504 divisors, whose sum is σ = 1404277729920. Its totient is φ = 105539272704.

The previous prime is 398010263611. The next prime is 398010263641. The reversal of 398010263616 is 616362010893.

398010263616 is a `hidden beast` number, since 3 + 9 + 8 + 0 + 1 + 0 + 2 + 636 + 1 + 6 = 666.

It is a tau number, because it is divible by the number of its divisors (504).

It is not an unprimeable number, because it can be changed into a prime (398010263611) by changing a digit.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 85060765 + ... + 85065443.

Almost surely, 2^398010263616 is an apocalyptic number.

398010263616 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 398010263616, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (702138864960).

398010263616 is an abundant number, since it is smaller than the sum of its proper divisors (1006267466304).

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

398010263616 is a wasteful number, since it uses less digits than its factorization.

398010263616 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 4811 (or 4781 counting only the distinct ones).

The product of its (nonzero) digits is 279936, while the sum is 45.

The spelling of 398010263616 in words is "three hundred ninety-eight billion, ten million, two hundred sixty-three thousand, six hundred sixteen".