1038163711104 has 192 divisors, whose sum is σ = 3218249656440. Its totient is φ = 319333367808.

The previous prime is 1038163711063. The next prime is 1038163711133. The reversal of 1038163711104 is 4011173618301.

It is a happy number.

1038163711104 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 1 + 637 + 1 + 1 + 10 + 4 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 280637181504 + 757526529600 = 529752^2 + 870360^2 .

It is a tau number, because it is divible by the number of its divisors (192).

It is a Harshad number since it is a multiple of its sum of digits (36).

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 23 ways as a sum of consecutive naturals, for example, 56854744 + ... + 56873000.

Almost surely, 2^{1038163711104} is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1038163711104, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1609124828220).

1038163711104 is an abundant number, since it is smaller than the sum of its proper divisors (2180085945336).

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

1038163711104 is a wasteful number, since it uses less digits than its factorization.

1038163711104 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 22087 (or 22072 counting only the distinct ones).

The product of its (nonzero) digits is 12096, while the sum is 36.

The spelling of 1038163711104 in words is "one trillion, thirty-eight billion, one hundred sixty-three million, seven hundred eleven thousand, one hundred four".