1038693097728 has 864 divisors, whose sum is σ = 3796713648000. Its totient is φ = 268216565760.

The previous prime is 1038693097703. The next prime is 1038693097747. The reversal of 1038693097728 is 8277903968301.

1038693097728 is a `hidden beast` number, since 10 + 386 + 93 + 0 + 97 + 72 + 8 = 666.

1038693097728 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

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, 296852523 + ... + 296856021.

It is an arithmetic number, because the mean of its divisors is an integer number (4394344500).

Almost surely, 2^{1038693097728} is an apocalyptic number.

1038693097728 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 1038693097728, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1898356824000).

1038693097728 is an abundant number, since it is smaller than the sum of its proper divisors (2758020550272).

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

1038693097728 is a wasteful number, since it uses less digits than its factorization.

1038693097728 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3615 (or 3598 counting only the distinct ones).

The product of its (nonzero) digits is 27433728, while the sum is 63.

The spelling of 1038693097728 in words is "one trillion, thirty-eight billion, six hundred ninety-three million, ninety-seven thousand, seven hundred twenty-eight".