1038145558608 has 80 divisors (see below), whose sum is σ = 2982249600000. Its totient is φ = 345771279360.

The previous prime is 1038145558517. The next prime is 1038145558633. The reversal of 1038145558608 is 8068555418301.

1038145558608 is a `hidden beast` number, since 1 + 0 + 3 + 8 + 1 + 4 + 55 + 586 + 0 + 8 = 666.

It is a Harshad number since it is a multiple of its sum of digits (54).

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 422448 + ... + 1501583.

It is an arithmetic number, because the mean of its divisors is an integer number (37278120000).

Almost surely, 2^{1038145558608} is an apocalyptic number.

1038145558608 is a gapful number since it is divisible by the number (18) formed by its first and last digit.

It is an amenable number.

1038145558608 is an abundant number, since it is smaller than the sum of its proper divisors (1944104041392).

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

1038145558608 is a wasteful number, since it uses less digits than its factorization.

1038145558608 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 1925297 (or 1925285 counting only the distinct ones).

The product of its (nonzero) digits is 4608000, while the sum is 54.

The spelling of 1038145558608 in words is "one trillion, thirty-eight billion, one hundred forty-five million, five hundred fifty-eight thousand, six hundred eight".