1038931745985 has 128 divisors (see below), whose sum is σ = 2161370112000. Its totient is φ = 463586893056.

The previous prime is 1038931745981. The next prime is 1038931746001. The reversal of 1038931745985 is 5895471398301.

1038931745985 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 9 + 31 + 7 + 4 + 598 + 5 = 666.

It is not a de Polignac number, because 1038931745985 - 2² = 1038931745981 is a prime.

It is a hoax number, since the sum of its digits (63) coincides with the sum of the digits of its distinct prime factors.

It is a Harshad number since it is a multiple of its sum of digits (63).

It is not an unprimeable number, because it can be changed into a prime (1038931745981) by changing a digit.

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 127 ways as a sum of consecutive naturals, for example, 67812156 + ... + 67827474.

It is an arithmetic number, because the mean of its divisors is an integer number (16885704000).

Almost surely, 2^{1038931745985} is an apocalyptic number.

1038931745985 is a gapful number since it is divisible by the number (15) formed by its first and last digit.

It is an amenable number.

1038931745985 is an abundant number, since it is smaller than the sum of its proper divisors (1122438366015).

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

1038931745985 is a wasteful number, since it uses less digits than its factorization.

1038931745985 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17052 (or 17046 counting only the distinct ones).

The product of its (nonzero) digits is 32659200, while the sum is 63.

The spelling of 1038931745985 in words is "one trillion, thirty-eight billion, nine hundred thirty-one million, seven hundred forty-five thousand, nine hundred eighty-five".