1038163149660 has 384 divisors, whose sum is σ = 3696717201408. Its totient is φ = 211766400000.

The previous prime is 1038163149641. The next prime is 1038163149757. The reversal of 1038163149660 is 669413618301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 127 ways as a sum of consecutive naturals, for example, 218512285 + ... + 218517035.

It is an arithmetic number, because the mean of its divisors is an integer number (9626867712).

Almost surely, 2^{1038163149660} is an apocalyptic number.

1038163149660 is a gapful number since it is divisible by the number (10) 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 1038163149660, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1848358600704).

1038163149660 is an abundant number, since it is smaller than the sum of its proper divisors (2658554051748).

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

1038163149660 is a wasteful number, since it uses less digits than its factorization.

1038163149660 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6105 (or 6103 counting only the distinct ones).

The product of its (nonzero) digits is 559872, while the sum is 48.

The spelling of 1038163149660 in words is "one trillion, thirty-eight billion, one hundred sixty-three million, one hundred forty-nine thousand, six hundred sixty".