398178038180016 has 240 divisors, whose sum is σ = 1161849204891648. Its totient is φ = 132010505049600.

The previous prime is 398178038179991. The next prime is 398178038180063. The reversal of 398178038180016 is 610081830871893.

398178038180016 is a `hidden beast` number, since 3 + 9 + 8 + 178 + 0 + 381 + 80 + 0 + 1 + 6 = 666.

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 47 ways as a sum of consecutive naturals, for example, 5191534180 + ... + 5191610876.

Almost surely, 2^{398178038180016} is an apocalyptic number.

398178038180016 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 398178038180016, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (580924602445824).

398178038180016 is an abundant number, since it is smaller than the sum of its proper divisors (763671166711632).

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

398178038180016 is a wasteful number, since it uses less digits than its factorization.

398178038180016 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 83902 (or 83884 counting only the distinct ones).

The product of its (nonzero) digits is 13934592, while the sum is 63.

The spelling of 398178038180016 in words is "three hundred ninety-eight trillion, one hundred seventy-eight billion, thirty-eight million, one hundred eighty thousand, sixteen".