1038355688832 has 256 divisors, whose sum is σ = 3480148869120. Its totient is φ = 266452715520.

The previous prime is 1038355688779. The next prime is 1038355688873. The reversal of 1038355688832 is 2388865538301.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 2242593 + ... + 2665695.

It is an arithmetic number, because the mean of its divisors is an integer number (13594331520).

Almost surely, 2^{1038355688832} is an apocalyptic number.

1038355688832 is a gapful number since it is divisible by the number (12) 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 1038355688832, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1740074434560).

1038355688832 is an abundant number, since it is smaller than the sum of its proper divisors (2441793180288).

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

1038355688832 is a wasteful number, since it uses less digits than its factorization.

1038355688832 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 423221 (or 423209 counting only the distinct ones).

The product of its (nonzero) digits is 33177600, while the sum is 60.

The spelling of 1038355688832 in words is "one trillion, thirty-eight billion, three hundred fifty-five million, six hundred eighty-eight thousand, eight hundred thirty-two".