2038329888768 has 130 divisors (see below), whose sum is σ = 6089082704034. Its totient is φ = 679443185664.

The previous prime is 2038329888713. The next prime is 2038329888799. The reversal of 2038329888768 is 8678889238302.

2038329888768 is a `hidden beast` number, since 20 + 383 + 2 + 98 + 8 + 87 + 68 = 666.

It can be written as a sum of positive squares in only one way, i.e., 1175125377024 + 863204511744 = 1084032^2 + 929088^2 .

It is a Harshad number since it is a multiple of its sum of digits (72).

It is a junction number, because it is equal to n+sod(n) for n = 2038329888696 and 2038329888705.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (19) of ones.

It is a polite number, since it can be written in 9 ways as a sum of consecutive naturals, for example, 2740071 + ... + 3403622.

Almost surely, 2^{2038329888768} is an apocalyptic number.

It is an amenable number.

2038329888768 is an abundant number, since it is smaller than the sum of its proper divisors (4050752815266).

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

2038329888768 is an frugal number, since it uses more digits than its factorization.

2038329888768 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6143729 (or 6143698 counting only the distinct ones).

The product of its (nonzero) digits is 445906944, while the sum is 72.

The spelling of 2038329888768 in words is "two trillion, thirty-eight billion, three hundred twenty-nine million, eight hundred eighty-eight thousand, seven hundred sixty-eight".