1038205479168 has 864 divisors, whose sum is σ = 3730411520640. Its totient is φ = 280782028800.

The previous prime is 1038205479109. The next prime is 1038205479187. The reversal of 1038205479168 is 8619745028301.

1038205479168 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 2 + 0 + 5 + 479 + 168 = 666.

1038205479168 is digitally balanced in base 2 and base 4, because in such bases it contains all the possibile digits an equal number of times.

It is a tau number, because it is divible by the number of its divisors (864).

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

It is an unprimeable number.

It is a polite number, since it can be written in 95 ways as a sum of consecutive naturals, for example, 949867230 + ... + 949868322.

It is a 2-persistent number, because it is pandigital, and so is 2⋅1038205479168 = 2076410958336, but 3⋅1038205479168 = 3114616437504 is not.

Almost surely, 2^{1038205479168} is an apocalyptic number.

1038205479168 is a gapful number since it is divisible by the number (18) 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 1038205479168, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1865205760320).

1038205479168 is an abundant number, since it is smaller than the sum of its proper divisors (2692206041472).

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

1038205479168 is a wasteful number, since it uses less digits than its factorization.

1038205479168 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1204 (or 1153 counting only the distinct ones).

The product of its (nonzero) digits is 2903040, while the sum is 54.

The spelling of 1038205479168 in words is "one trillion, thirty-eight billion, two hundred five million, four hundred seventy-nine thousand, one hundred sixty-eight".